TSTP Solution File: LCL494+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL494+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n007.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 07:39:29 EDT 2023

% Result   : Theorem 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL494+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n007.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 04:48:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  
% 0.13/0.38  input clause set summed statistics:
% 0.13/0.38  ----------------------------------
% 0.13/0.38  in_clause_count:                    74
% 0.13/0.38  in_rule_clause_count:               74
% 0.13/0.38  in_fact_clause_count:                0
% 0.13/0.38  in_answer_clause_count:              0
% 0.13/0.38  in_ground_clause_count:             43
% 0.13/0.38  in_unit_clause_count:               14
% 0.13/0.38  in_horn_clause_count:               71
% 0.13/0.38  in_pos_clause_count:                16
% 0.13/0.38  in_neg_clause_count:                 1
% 0.13/0.38  in_poseq_clause_count:               6
% 0.13/0.38  in_negeq_clause_count:               1
% 0.13/0.38  in_unitposeq_clause_count:           0
% 0.13/0.38  in_chain_clause_count:               0
% 0.13/0.38  in_min_length:             1
% 0.13/0.38  in_max_length:             4
% 0.13/0.38  in_min_depth:              1
% 0.13/0.38  in_max_depth:              5
% 0.13/0.38  in_min_size:               2
% 0.13/0.38  in_max_size:              16
% 0.13/0.38  in_min_vars:               0
% 0.13/0.38  in_max_vars:               3
% 0.13/0.38  in_extaxiom_count:                70
% 0.13/0.38  in_axiom_count:                    3
% 0.13/0.38  in_assumption_count:               0
% 0.13/0.38  in_goal_count:                     1
% 0.13/0.38  in_neg_goal_count:                 1
% 0.13/0.38  in_pos_goal_count:                 0
% 0.13/0.38  in_posunit_goal_count:             0
% 0.13/0.38  
% 0.13/0.38  auto guide:
% 0.13/0.38  -----------
% 0.13/0.38  {
% 0.13/0.38  "print":1,
% 0.13/0.38  "print_level": 15,
% 0.13/0.38  "max_size": 0,
% 0.13/0.38  "max_depth": 0,
% 0.13/0.38  "max_length": 0,
% 0.13/0.38  "max_dseconds": 0,
% 0.13/0.38  "runs":[
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.13/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.38  {"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},
% 0.13/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.13/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.13/0.38  {"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},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"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},
% 0.13/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.13/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.38  {"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},
% 0.13/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.13/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.13/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.13/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.13/0.38  {"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},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.13/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"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},
% 0.13/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.13/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.13/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.13/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.13/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 0.13/0.38  
% 0.13/0.38  ]}
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  **** run 1 fork 0 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.13/0.38  
% 0.13/0.38  **** run 2 fork 1 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.13/0.38  
% 0.13/0.38  **** run 3 fork 2 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.13/0.38  
% 0.13/0.38  **** run 4 fork 3 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.13/0.39  
% 0.13/0.39  **** run 5 fork 4 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 7 fork 6 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.13/0.39  
% 0.13/0.39  **** run 6 fork 5 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  fork 3: search finished without proof.
% 0.19/0.44  
% 0.19/0.44  **** run 12 fork 3 starts with strategy
% 0.19/0.44  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  result: proof found
% 0.19/0.47  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 0.19/0.47  fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('hilbert_op_equiv', axiom, op_equiv,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 0.19/0.47  fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('hilbert_op_or', axiom, op_or,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 0.19/0.47  fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('hilbert_op_implies_and', axiom, op_implies_and,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_implies_1_$sk', plain, ((~implies_1 | is_a_theorem(implies(X2,implies(X1,X2)))) & (implies_1 | ~is_a_theorem(implies($sk49,implies($sk48,$sk49))))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 0.19/0.47  fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 0.19/0.47  fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_r2'])).
% 0.19/0.47  fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_r2', axiom, r2,
% 0.19/0.47    input). 
% 0.19/0.47  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($sk55) & (is_a_theorem(implies($sk54,$sk55)) & is_a_theorem($sk54))))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 0.19/0.47  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_r3_$sk', plain, ((~r3 | is_a_theorem(implies(or(X2,X1),or(X1,X2)))) & (r3 | ~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8))))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_r3'])).
% 0.19/0.47  fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_r3', axiom, r3,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 0.19/0.47  fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_op_and', axiom, op_and,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_equivalence_2_$sk', plain, ((~equivalence_2 | is_a_theorem(implies(equiv(X2,X1),implies(X1,X2)))) & (equivalence_2 | ~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27))))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_equivalence_2'])).
% 0.19/0.47  fof('$inc_equivalence_2', axiom, (equivalence_2 <=> (! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('hilbert_equivalence_2_$sk', plain, ~equivalence_2,
% 0.19/0.47    inference(negpush_and_skolemize,[],['hilbert_equivalence_2'])).
% 0.19/0.47  fof('hilbert_equivalence_2', conjecture, equivalence_2,
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_r1_$sk', plain, ((~r1 | is_a_theorem(implies(or(X1,X1),X1))) & (r1 | ~is_a_theorem(implies(or($sk11,$sk11),$sk11)))),
% 0.19/0.47    inference(negpush_and_skolemize,[],['$inc_r1'])).
% 0.19/0.47  fof('$inc_r1', axiom, (r1 <=> (! [P] : is_a_theorem(implies(or(P,P),P)))),
% 0.19/0.47    input). 
% 0.19/0.47  fof('$inc_principia_r1', axiom, r1,
% 0.19/0.47    input). 
% 0.19/0.47  cnf('1', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 0.19/0.47  cnf('2', plain, ($pr(op_equiv)),
% 0.19/0.47    inference(cnf_transformation,[],['hilbert_op_equiv'])).
% 0.19/0.47  cnf('3', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 0.19/0.47    inference(simplify,[],['1','2'])).
% 0.19/0.47  cnf('4', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 0.19/0.47  cnf('5', plain, ($pr(op_or)),
% 0.19/0.47    inference(cnf_transformation,[],['hilbert_op_or'])).
% 0.19/0.47  cnf('6', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 0.19/0.47  cnf('7', plain, ($pr(op_implies_and)),
% 0.19/0.47    inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 0.19/0.47  cnf('8', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 0.19/0.47    inference(simplify,[],['6','7'])).
% 0.19/0.47  cnf('9', plain, (or(X,Y) = implies(not(X),Y)),
% 0.19/0.47    inference(simplify,[then_simplify],['4','5','8'])).
% 0.19/0.47  cnf('10', plain, (~$pr(implies_1) | is_a_theorem(implies(X,implies(Y,X)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.19/0.47  cnf('11', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 0.19/0.47  cnf('12', plain, ($pr(op_implies_or)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 0.19/0.47  cnf('13', plain, (implies(X,Y) = or(not(X),Y)),
% 0.19/0.47    inference(simplify,[],['11','12'])).
% 0.19/0.47  cnf('14', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 0.19/0.47  cnf('15', plain, ($pr(r2)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_r2'])).
% 0.19/0.47  cnf('16', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 0.19/0.47    inference(simplify,[],['14','15'])).
% 0.19/0.47  cnf('17', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 0.19/0.47    inference(paramodulation,[],['13','16'])).
% 0.19/0.47  cnf('18', plain, (~is_a_theorem(implies($sk49,implies($sk48,$sk49))) | $pr(implies_1)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.19/0.47  cnf('19', plain, ($pr(implies_1)),
% 0.19/0.47    inference(resolution,[],['17','18'])).
% 0.19/0.47  cnf('20', plain, (is_a_theorem(or(X,implies(Y,not(X))))),
% 0.19/0.47    inference(paramodulation,[then_simplify],['9','10','19'])).
% 0.19/0.47  cnf('21', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 0.19/0.47  cnf('22', plain, ($pr(modus_ponens)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 0.19/0.47  cnf('23', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.19/0.47    inference(simplify,[],['21','22'])).
% 0.19/0.47  cnf('24', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 0.19/0.47  cnf('25', plain, ($pr(r3)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_r3'])).
% 0.19/0.47  cnf('26', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 0.19/0.47    inference(simplify,[],['24','25'])).
% 0.19/0.47  cnf('27', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 0.19/0.47    inference(resolution,[],['23','26'])).
% 0.19/0.47  cnf('28', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 0.19/0.47    inference(resolution,[],['20','27'])).
% 0.19/0.47  cnf('29', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 0.19/0.47  cnf('30', plain, ($pr(op_and)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 0.19/0.47  cnf('31', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 0.19/0.47    inference(simplify,[then_simplify],['29','30','13'])).
% 0.19/0.47  cnf('32', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 0.19/0.47    inference(paramodulation,[],['31','9'])).
% 0.19/0.47  cnf('33', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 0.19/0.47    inference(simplify,[],['28','32'])).
% 0.19/0.47  cnf('34', plain, (is_a_theorem(implies(equiv(X,Y),implies(Y,X)))),
% 0.19/0.47    inference(paramodulation,[],['3','33'])).
% 0.19/0.47  cnf('35', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(Y)),
% 0.19/0.47    inference(resolution,[],['23','16'])).
% 0.19/0.47  cnf('36', plain, (~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27))) | $pr(equivalence_2)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_equivalence_2_$sk'])).
% 0.19/0.47  cnf('37', plain, (~$pr(equivalence_2)),
% 0.19/0.47    inference(cnf_transformation,[],['hilbert_equivalence_2_$sk'])).
% 0.19/0.47  cnf('38', plain, (~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27)))),
% 0.19/0.47    inference(simplify,[],['36','37'])).
% 0.19/0.47  cnf('39', plain, (~$pr(r1) | is_a_theorem(implies(or(X0,X0),X0))),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_r1_$sk'])).
% 0.19/0.47  cnf('40', plain, ($pr(r1)),
% 0.19/0.47    inference(cnf_transformation,[],['$inc_principia_r1'])).
% 0.19/0.47  cnf('41', plain, (is_a_theorem(implies(or(X,X),X))),
% 0.19/0.47    inference(simplify,[],['39','40'])).
% 0.19/0.47  cnf('42', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 0.19/0.47    inference(resolution,[],['23','41'])).
% 0.19/0.47  cnf('43', plain, (~is_a_theorem(or(implies(equiv($sk27,$sk26),implies($sk26,$sk27)),implies(equiv($sk27,$sk26),implies($sk26,$sk27))))),
% 0.19/0.47    inference(resolution,[],['38','42'])).
% 0.19/0.47  cnf('44', plain, ($false),
% 0.19/0.47    inference(resolution,[then_simplify],['34','35','43'])).
% 0.19/0.47  
% 0.19/0.47  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  
% 0.19/0.47  run 8 fork 7 statistics:
% 0.19/0.47  ----------------------------------
% 0.19/0.47  this run seconds: 0.042009
% 0.19/0.47  total seconds: 0.072214
% 0.19/0.47  stat_given_used: 252
% 0.19/0.47  stat_given_used_at_endgame: 0
% 0.19/0.47  stat_given_candidates:   389
% 0.19/0.47  stat_given_candidates_at_endgame: 0
% 0.19/0.47  stat_given_candidates_h: 0
% 0.19/0.47  stat_binres_derived_cl:   2234
% 0.19/0.47  stat_binres_derived_cl_h: 0
% 0.19/0.47  stat_factor_derived_cl: 0
% 0.19/0.47  stat_para_derived_cl: 267
% 0.19/0.47  stat_tautologies_discarded: 0
% 0.19/0.47  stat_forward_subsumed: 649
% 0.19/0.47  stat_derived_cut: 25
% 0.19/0.47  stat_derived_rewritten: 7
% 0.19/0.47  stat_weight_discarded_building: 0
% 0.19/0.47  stat_weight_discarded_cl: 0
% 0.19/0.47  stat_internlimit_discarded_cl: 0
% 0.19/0.47  stat_simplified:  25 simplified 0 derived 0 given
% 0.19/0.47  stat_kept_cl: 1841
% 0.19/0.47  stat_built_cl: 2370
% 0.19/0.47  stat_hyperres_partial_cl: 0
% 0.19/0.47  stat_made_rewriters: 12
% 0.19/0.47  stat_backward_subsumed: 0
% 0.19/0.47  stat_propagated_subsumed: 0
% 0.19/0.47  stat_clsubs_attempted:                      3487
% 0.19/0.47  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.47  stat_clsubs_rule_groundunit_found:            15
% 0.19/0.47  stat_clsubs_top_meta_attempted:              31540
% 0.19/0.47  stat_clsubs_top_meta_failed:                 28053
% 0.19/0.47  stat_clsubs_top_meta_nonpref_attempted:               31540
% 0.19/0.47  stat_clsubs_top_meta_nonpref_succeeded:                9097
% 0.19/0.47  stat_clsubs_top_meta_pref_attempted:                   9097
% 0.19/0.47  stat_clsubs_top_meta_pref1_succeeded:                  7710
% 0.19/0.47  stat_clsubs_top_meta_pref2_succeeded:                  3928
% 0.19/0.47  stat_clsubs_top_meta_pref3_succeeded:                  3487
% 0.19/0.47  stat_clsubs_top_meta_pref_succeeded:                   3487
% 0.19/0.47  stat_clsubs_meta_attempted:                 3696
% 0.19/0.47  stat_clsubs_meta_failed:                     344
% 0.19/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.47  stat_clsubs_unit_attempted:                 3360
% 0.19/0.47  stat_clsubs_full_attempted:                  127
% 0.19/0.47  stat_forwardsubs_attempted:                 2491
% 0.19/0.47  stat_lit_hash_added:                   2266
% 0.19/0.47  stat_lit_hash_computed:                6363
% 0.19/0.47  stat_lit_hash_match_found:              721
% 0.19/0.47  stat_lit_hash_match_miss:              5589
% 0.19/0.47  stat_lit_hash_cut_ok:                    26
% 0.19/0.47  stat_lit_strong_cut_ok:                   2
% 0.19/0.47  stat_lit_hash_subsume_ok:               649
% 0.19/0.47  clqueue els 10000000 used 1
% 0.19/0.47  clactive els 10000000 used 253
% 0.19/0.47  clactivesubsume els 10000000 used 1357
% 0.19/0.47  queue_termbuf els 200000000 used 123982
% 0.19/0.47  hyper_termbuf els 100000000 used 1
% 0.19/0.47  active_termbuf els 100000000 used 9335
% 0.19/0.47  varstack els 5000 last used 1
% 0.19/0.47  given_termbuf els 10000000 last used 1
% 0.19/0.47  simplified_termbuf els 10000000 last used 1
% 0.19/0.47  derived_termbuf els 10000000 last used 49
% 0.19/0.47  wr_mallocs: 7836
% 0.19/0.47  wr_callocs: 21
% 0.19/0.47  wr_reallocs: 359
% 0.19/0.47  wr_frees: 2
% 0.19/0.47  wr_malloc_bytes: 4162859444
% 0.19/0.47  wr_calloc_bytes: 112065536
% 0.19/0.47  wr_realloc_bytes: 63104
% 0.19/0.47  wr_realloc_freebytes: 0
% 0.19/0.47  ----------------------------------
%------------------------------------------------------------------------------