TSTP Solution File: LCL520+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL520+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n023.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 07:39:36 EDT 2023

% Result   : Theorem 2.98s 0.76s
% Output   : CNFRefutation 2.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : LCL520+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11  % Command  : gkc %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri Aug 25 06:22:57 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.37  
% 0.10/0.37  input clause set summed statistics:
% 0.10/0.37  ----------------------------------
% 0.10/0.37  in_clause_count:                    72
% 0.10/0.37  in_rule_clause_count:               72
% 0.10/0.37  in_fact_clause_count:                0
% 0.10/0.37  in_answer_clause_count:              0
% 0.10/0.37  in_ground_clause_count:             41
% 0.10/0.37  in_unit_clause_count:               12
% 0.10/0.37  in_horn_clause_count:               69
% 0.10/0.37  in_pos_clause_count:                14
% 0.10/0.37  in_neg_clause_count:                 1
% 0.10/0.37  in_poseq_clause_count:               6
% 0.10/0.37  in_negeq_clause_count:               1
% 0.10/0.37  in_unitposeq_clause_count:           0
% 0.10/0.37  in_chain_clause_count:               0
% 0.10/0.37  in_min_length:             1
% 0.10/0.37  in_max_length:             4
% 0.10/0.37  in_min_depth:              1
% 0.10/0.37  in_max_depth:              5
% 0.10/0.37  in_min_size:               2
% 0.10/0.37  in_max_size:              16
% 0.10/0.37  in_min_vars:               0
% 0.10/0.37  in_max_vars:               3
% 0.10/0.37  in_extaxiom_count:                68
% 0.10/0.37  in_axiom_count:                    3
% 0.10/0.37  in_assumption_count:               0
% 0.10/0.37  in_goal_count:                     1
% 0.10/0.37  in_neg_goal_count:                 1
% 0.10/0.37  in_pos_goal_count:                 0
% 0.10/0.37  in_posunit_goal_count:             0
% 0.10/0.37  
% 0.10/0.37  auto guide:
% 0.10/0.37  -----------
% 0.10/0.37  {
% 0.10/0.37  "print":1,
% 0.10/0.37  "print_level": 15,
% 0.10/0.37  "max_size": 0,
% 0.10/0.37  "max_depth": 0,
% 0.10/0.37  "max_length": 0,
% 0.10/0.37  "max_dseconds": 0,
% 0.10/0.37  "runs":[
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.37  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.10/0.37  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.37  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.37  {"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},
% 0.10/0.37  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.37  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.37  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.10/0.37  {"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},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.37  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.37  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"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},
% 0.10/0.37  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.37  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.37  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.10/0.37  
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.37  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.10/0.37  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.37  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.37  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.37  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.37  {"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},
% 0.10/0.37  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.10/0.37  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.10/0.37  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.37  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.37  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.37  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.37  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.10/0.37  {"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},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.37  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.10/0.37  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"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},
% 0.10/0.37  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.10/0.37  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.37  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.10/0.37  
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.10/0.37  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.37  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.10/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.10/0.37  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.37  
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.10/0.37  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 0.10/0.37  
% 0.10/0.37  ]}
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  **** run 1 fork 0 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.10/0.37  
% 0.10/0.37  **** run 2 fork 1 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.10/0.37  
% 0.10/0.37  **** run 3 fork 2 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.37  
% 0.10/0.37  **** run 4 fork 3 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.37  
% 0.10/0.37  **** run 5 fork 4 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.37  
% 0.10/0.37  **** run 6 fork 5 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.37  
% 0.10/0.37  **** run 7 fork 6 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.37  
% 0.10/0.37  **** run 8 fork 7 starts with strategy
% 0.10/0.37  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.16/0.41  
% 0.16/0.41  fork 3: search finished without proof.
% 0.16/0.44  
% 0.16/0.44  **** run 12 fork 3 starts with strategy
% 0.16/0.44  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 5: search terminated without proof.
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 6: search terminated without proof.
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 0: search terminated without proof.
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 2: search terminated without proof.
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 4: search terminated without proof.
% 0.16/0.50  
% 0.16/0.50  
% 0.16/0.50  fork 7: search terminated without proof.
% 0.16/0.51  
% 0.16/0.51  fork 1: search finished without proof.
% 0.16/0.53  
% 0.16/0.53  **** run 14 fork 5 starts with strategy
% 0.16/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.16/0.53  
% 0.16/0.53  **** run 16 fork 7 starts with strategy
% 0.16/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.16/0.53  
% 0.16/0.53  **** run 15 fork 6 starts with strategy
% 0.16/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.16/0.53  
% 0.16/0.53  **** run 11 fork 2 starts with strategy
% 0.16/0.53  
% 0.16/0.53  **** run 13 fork 4 starts with strategy
% 0.16/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.16/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.16/0.54  
% 0.16/0.54  **** run 10 fork 1 starts with strategy
% 0.16/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.34/0.54  
% 1.34/0.54  **** run 9 fork 0 starts with strategy
% 1.34/0.54  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.34/0.56  
% 1.34/0.56  
% 1.34/0.56  fork 3: search terminated without proof.
% 1.57/0.58  
% 1.57/0.58  **** run 20 fork 3 starts with strategy
% 1.57/0.58  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 2.22/0.65  
% 2.22/0.65  
% 2.22/0.65  fork 5: search terminated without proof.
% 2.22/0.65  
% 2.22/0.65  
% 2.22/0.65  fork 6: search terminated without proof.
% 2.22/0.65  
% 2.22/0.65  
% 2.22/0.65  fork 7: search terminated without proof.
% 2.22/0.65  
% 2.22/0.65  
% 2.22/0.65  fork 2: search terminated without proof.
% 2.22/0.65  
% 2.22/0.65  
% 2.22/0.65  fork 4: search terminated without proof.
% 2.22/0.66  
% 2.22/0.66  
% 2.22/0.66  fork 1: search terminated without proof.
% 2.22/0.66  
% 2.22/0.66  **** run 22 fork 5 starts with strategy
% 2.22/0.66  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.22/0.67  
% 2.22/0.67  **** run 23 fork 6 starts with strategy
% 2.22/0.67  {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 2.22/0.67  
% 2.22/0.67  **** run 24 fork 7 starts with strategy
% 2.22/0.67  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.22/0.67  
% 2.22/0.67  **** run 21 fork 4 starts with strategy
% 2.22/0.67  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.22/0.67  
% 2.22/0.67  **** run 19 fork 2 starts with strategy
% 2.22/0.67  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.51/0.68  
% 2.51/0.68  **** run 18 fork 1 starts with strategy
% 2.51/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.51/0.71  
% 2.51/0.71  
% 2.51/0.71  fork 3: search terminated without proof.
% 2.51/0.71  
% 2.51/0.71  fork 6: search finished without proof.
% 2.51/0.73  
% 2.51/0.73  **** run 28 fork 3 starts with strategy
% 2.51/0.73  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 2.51/0.73  
% 2.51/0.73  **** run 31 fork 6 starts with strategy
% 2.51/0.73  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 2.98/0.76  
% 2.98/0.76  
% 2.98/0.76  result: proof found
% 2.98/0.76  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.98/0.76  by run 22 fork 5 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.98/0.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.98/0.76  
% 2.98/0.76  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.98/0.76  fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 2.98/0.76  fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('principia_op_implies_or', axiom, op_implies_or,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 2.98/0.76  fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_op_or', axiom, op_or,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 2.98/0.76  fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_op_implies_and', axiom, op_implies_and,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_kn3_$sk', plain, ((~kn3 | is_a_theorem(implies(implies(X3,X2),implies(not(and(X2,X1)),not(and(X1,X3)))))) & (kn3 | ~is_a_theorem(implies(implies($sk20,$sk19),implies(not(and($sk19,$sk18)),not(and($sk18,$sk20))))))),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_kn3'])).
% 2.98/0.76  fof('$inc_kn3', axiom, (kn3 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_kn3', axiom, kn3,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$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($sk54))))),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 2.98/0.76  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_modus_ponens', axiom, modus_ponens,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_kn1_$sk', plain, ((~kn1 | is_a_theorem(implies(X1,and(X1,X1)))) & (kn1 | ~is_a_theorem(implies($sk23,and($sk23,$sk23))))),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_kn1'])).
% 2.98/0.76  fof('$inc_kn1', axiom, (kn1 <=> (! [P] : is_a_theorem(implies(P,and(P,P))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_kn1', axiom, kn1,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 2.98/0.76  fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('principia_op_and', axiom, op_and,
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_kn2_$sk', plain, ((~kn2 | is_a_theorem(implies(and(X2,X1),X2))) & (kn2 | ~is_a_theorem(implies(and($sk22,$sk21),$sk22)))),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_kn2'])).
% 2.98/0.76  fof('$inc_kn2', axiom, (kn2 <=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('$inc_rosser_kn2', axiom, kn2,
% 2.98/0.76    input). 
% 2.98/0.76  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))))),
% 2.98/0.76    inference(negpush_and_skolemize,[],['$inc_r3'])).
% 2.98/0.76  fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 2.98/0.76    input). 
% 2.98/0.76  fof('principia_r3_$sk', plain, ~r3,
% 2.98/0.76    inference(negpush_and_skolemize,[],['principia_r3'])).
% 2.98/0.76  fof('principia_r3', conjecture, r3,
% 2.98/0.76    input). 
% 2.98/0.76  cnf('1', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 2.98/0.76  cnf('2', plain, ($pr(op_implies_or)),
% 2.98/0.76    inference(cnf_transformation,[],['principia_op_implies_or'])).
% 2.98/0.76  cnf('3', plain, (implies(X,Y) = or(not(X),Y)),
% 2.98/0.76    inference(simplify,[],['1','2'])).
% 2.98/0.76  cnf('4', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 2.98/0.76  cnf('5', plain, ($pr(op_or)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_op_or'])).
% 2.98/0.76  cnf('6', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 2.98/0.76  cnf('7', plain, ($pr(op_implies_and)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_op_implies_and'])).
% 2.98/0.76  cnf('8', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 2.98/0.76    inference(simplify,[],['6','7'])).
% 2.98/0.76  cnf('9', plain, (or(X,Y) = implies(not(X),Y)),
% 2.98/0.76    inference(simplify,[then_simplify],['4','5','8'])).
% 2.98/0.76  cnf('10', plain, (~$pr(kn3) | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_kn3_$sk'])).
% 2.98/0.76  cnf('11', plain, ($pr(kn3)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_kn3'])).
% 2.98/0.76  cnf('12', plain, (is_a_theorem(implies(implies(X,Y),or(and(Y,Z),not(and(Z,X)))))),
% 2.98/0.76    inference(simplify,[then_simplify],['10','11','9'])).
% 2.98/0.76  cnf('13', plain, (is_a_theorem(implies(implies(not(X3),Y3),or(and(Y3,Z3),implies(Z3,X3))))),
% 2.98/0.76    inference(paramodulation,[],['8','12'])).
% 2.98/0.76  cnf('14', plain, (is_a_theorem(implies(or(X,Y),or(and(Y,Z),implies(Z,X))))),
% 2.98/0.76    inference(simplify,[],['13','9'])).
% 2.98/0.76  cnf('15', plain, (is_a_theorem(implies(or(X3,Y3),or(and(Y3,not(Z3)),or(Z3,X3))))),
% 2.98/0.76    inference(paramodulation,[],['9','14'])).
% 2.98/0.76  cnf('16', plain, (or(and(X,not(Y)),Z) = implies(implies(X,Y),Z)),
% 2.98/0.76    inference(paramodulation,[],['8','9'])).
% 2.98/0.76  cnf('17', plain, (is_a_theorem(implies(or(X,Y),implies(implies(Y,Z),or(Z,X))))),
% 2.98/0.76    inference(simplify,[],['15','16'])).
% 2.98/0.76  cnf('18', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 2.98/0.76  cnf('19', plain, ($pr(modus_ponens)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_modus_ponens'])).
% 2.98/0.76  cnf('20', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 2.98/0.76    inference(simplify,[],['18','19'])).
% 2.98/0.76  cnf('21', plain, (is_a_theorem(implies(implies(X,Y),or(Y,Z))) | ~is_a_theorem(or(Z,X))),
% 2.98/0.76    inference(resolution,[],['17','20'])).
% 2.98/0.76  cnf('22', plain, (~$pr(kn1) | is_a_theorem(implies(X0,and(X0,X0)))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_kn1_$sk'])).
% 2.98/0.76  cnf('23', plain, ($pr(kn1)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_kn1'])).
% 2.98/0.76  cnf('24', plain, (is_a_theorem(implies(X,and(X,X)))),
% 2.98/0.76    inference(simplify,[],['22','23'])).
% 2.98/0.76  cnf('25', plain, (is_a_theorem(or(X,and(not(X),not(X))))),
% 2.98/0.76    inference(paramodulation,[],['9','24'])).
% 2.98/0.76  cnf('26', plain, (is_a_theorem(implies(implies(and(not(X3),not(X3)),Y3),or(Y3,X3)))),
% 2.98/0.76    inference(resolution,[],['21','25'])).
% 2.98/0.76  cnf('27', plain, (implies(and(X,not(Y)),Z) = or(implies(X,Y),Z)),
% 2.98/0.76    inference(paramodulation,[],['8','3'])).
% 2.98/0.76  cnf('28', plain, (is_a_theorem(implies(or(or(X,X),Y),or(Y,X)))),
% 2.98/0.76    inference(simplify,[then_simplify],['26','27','9'])).
% 2.98/0.76  cnf('29', plain, (is_a_theorem(implies(or(implies(X3,not(X3)),Y3),or(Y3,not(X3))))),
% 2.98/0.76    inference(paramodulation,[],['3','28'])).
% 2.98/0.76  cnf('30', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 2.98/0.76  cnf('31', plain, ($pr(op_and)),
% 2.98/0.76    inference(cnf_transformation,[],['principia_op_and'])).
% 2.98/0.76  cnf('32', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 2.98/0.76    inference(simplify,[then_simplify],['30','31','3'])).
% 2.98/0.76  cnf('33', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 2.98/0.76    inference(paramodulation,[],['32','9'])).
% 2.98/0.76  cnf('34', plain, (is_a_theorem(implies(implies(and(X,X),Y),or(Y,not(X))))),
% 2.98/0.76    inference(simplify,[],['29','33'])).
% 2.98/0.76  cnf('35', plain, (~is_a_theorem(implies(and(X,X),Y)) | is_a_theorem(or(Y,not(X)))),
% 2.98/0.76    inference(resolution,[],['34','20'])).
% 2.98/0.76  cnf('36', plain, (~$pr(kn2) | is_a_theorem(implies(and(X0,X1),X0))),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_kn2_$sk'])).
% 2.98/0.76  cnf('37', plain, ($pr(kn2)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_rosser_kn2'])).
% 2.98/0.76  cnf('38', plain, (is_a_theorem(implies(and(X,Y),X))),
% 2.98/0.76    inference(simplify,[],['36','37'])).
% 2.98/0.76  cnf('39', plain, (is_a_theorem(or(X,not(X)))),
% 2.98/0.76    inference(resolution,[],['35','38'])).
% 2.98/0.76  cnf('40', plain, (is_a_theorem(implies(implies(not(X3),Y3),or(Y3,X3)))),
% 2.98/0.76    inference(resolution,[],['39','21'])).
% 2.98/0.76  cnf('41', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 2.98/0.76    inference(simplify,[],['40','9'])).
% 2.98/0.76  cnf('42', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8))) | $pr(r3)),
% 2.98/0.76    inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 2.98/0.76  cnf('43', plain, (~$pr(r3)),
% 2.98/0.76    inference(cnf_transformation,[],['principia_r3_$sk'])).
% 2.98/0.76  cnf('44', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8)))),
% 2.98/0.76    inference(simplify,[],['42','43'])).
% 2.98/0.76  cnf('45', plain, ($false),
% 2.98/0.76    inference(resolution,[],['41','44'])).
% 2.98/0.76  
% 2.98/0.76  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.98/0.76  
% 2.98/0.76  run 22 fork 5 statistics:
% 2.98/0.76  ----------------------------------
% 2.98/0.76  
% 2.98/0.76  fork 6: search finished without proof.
% 2.98/0.76  this run seconds: 0.012001
% 2.98/0.76  total seconds: 0.336857
% 2.98/0.76  stat_given_used: 128
% 2.98/0.76  stat_given_used_at_endgame: 0
% 2.98/0.76  stat_given_candidates:   215
% 2.98/0.76  stat_given_candidates_at_endgame: 0
% 2.98/0.76  stat_given_candidates_h: 0
% 2.98/0.76  stat_binres_derived_cl:   115
% 2.98/0.76  stat_binres_derived_cl_h: 0
% 2.98/0.76  stat_factor_derived_cl: 0
% 2.98/0.76  stat_para_derived_cl: 162
% 2.98/0.76  stat_tautologies_discarded: 2
% 2.98/0.76  stat_forward_subsumed: 15
% 2.98/0.76  stat_derived_cut: 16
% 2.98/0.76  stat_derived_rewritten: 18
% 2.98/0.76  stat_weight_discarded_building: 0
% 2.98/0.76  stat_weight_discarded_cl: 0
% 2.98/0.76  stat_internlimit_discarded_cl: 0
% 2.98/0.76  stat_simplified:  30 simplified 0 derived 0 given
% 2.98/0.76  stat_kept_cl: 239
% 2.98/0.76  stat_built_cl: 525
% 2.98/0.76  stat_hyperres_partial_cl: 0
% 2.98/0.76  stat_made_rewriters: 29
% 2.98/0.76  stat_backward_subsumed: 0
% 2.98/0.76  stat_propagated_subsumed: 0
% 2.98/0.76  stat_clsubs_attempted:                       138
% 2.98/0.76  stat_clsubs_fact_groundunit_found:             0
% 2.98/0.76  stat_clsubs_rule_groundunit_found:            13
% 2.98/0.76  stat_clsubs_top_meta_attempted:               7123
% 2.98/0.76  stat_clsubs_top_meta_failed:                  6985
% 2.98/0.76  stat_clsubs_top_meta_nonpref_attempted:                7123
% 2.98/0.76  stat_clsubs_top_meta_nonpref_succeeded:                1593
% 2.98/0.76  stat_clsubs_top_meta_pref_attempted:                   1593
% 2.98/0.76  stat_clsubs_top_meta_pref1_succeeded:                   878
% 2.98/0.76  stat_clsubs_top_meta_pref2_succeeded:                   209
% 2.98/0.76  stat_clsubs_top_meta_pref3_succeeded:                   138
% 2.98/0.76  stat_clsubs_top_meta_pref_succeeded:                    138
% 2.98/0.76  stat_clsubs_meta_attempted:                  158
% 2.98/0.76  stat_clsubs_meta_failed:                      22
% 2.98/0.76  stat_clsubs_predsymbs_attempted:               0
% 2.98/0.76  stat_clsubs_unit_attempted:                  118
% 2.98/0.76  stat_clsubs_full_attempted:                   20
% 2.98/0.76  stat_forwardsubs_attempted:                  254
% 2.98/0.76  stat_lit_hash_added:                    418
% 2.98/0.76  stat_lit_hash_computed:                1292
% 2.98/0.76  stat_lit_hash_match_found:               77
% 2.98/0.76  stat_lit_hash_match_miss:              1202
% 2.98/0.76  stat_lit_hash_cut_ok:                    16
% 2.98/0.76  stat_lit_strong_cut_ok:                   0
% 2.98/0.76  stat_lit_hash_subsume_ok:                15
% 2.98/0.76  clqueue els 10000000 used 1
% 2.98/0.76  clactive els 10000000 used 129
% 2.98/0.76  clactivesubsume els 10000000 used 673
% 2.98/0.76  queue_termbuf els 200000000 used 18984
% 2.98/0.76  hyper_termbuf els 100000000 used 1
% 2.98/0.76  active_termbuf els 100000000 used 4951
% 2.98/0.76  varstack els 5000 last used 1
% 2.98/0.76  given_termbuf els 10000000 last used 1
% 2.98/0.76  simplified_termbuf els 10000000 last used 1
% 2.98/0.76  derived_termbuf els 10000000 last used 5
% 2.98/0.76  wr_mallocs: 2199
% 2.98/0.76  wr_callocs: 21
% 2.98/0.76  wr_reallocs: 38
% 2.98/0.76  wr_frees: 2
% 2.98/0.76  wr_malloc_bytes: 4162657156
% 2.98/0.76  wr_calloc_bytes: 112065536
% 2.98/0.76  wr_realloc_bytes: 5160
% 2.98/0.76  wr_realloc_freebytes: 0
% 2.98/0.76  ----------------------------------
%------------------------------------------------------------------------------