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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL526+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:08:48 PM UTC 2026

% Result   : Theorem 6.14s 1.50s
% Output   : CNFRefutation 6.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL526+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : gkc %s
% 0.07/0.34  % Computer : n029.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Sat Sep  5 19:27:40 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.22/0.48  
% 0.22/0.48  input clause set summed statistics:
% 0.22/0.48  ----------------------------------
% 0.22/0.48  in_clause_count:                   146
% 0.22/0.48  in_rule_clause_count:              146
% 0.22/0.48  in_fact_clause_count:                0
% 0.22/0.48  in_answer_clause_count:              0
% 0.22/0.48  in_ground_clause_count:             88
% 0.22/0.48  in_unit_clause_count:               30
% 0.22/0.48  in_horn_clause_count:              137
% 0.22/0.48  in_pos_clause_count:                38
% 0.22/0.48  in_neg_clause_count:                 1
% 0.22/0.48  in_poseq_clause_count:              11
% 0.22/0.48  in_negeq_clause_count:               2
% 0.22/0.48  in_unitposeq_clause_count:           0
% 0.22/0.48  in_chain_clause_count:               0
% 0.22/0.48  in_min_length:             1
% 0.22/0.48  in_max_length:             4
% 0.22/0.48  in_min_depth:              1
% 0.22/0.48  in_max_depth:              5
% 0.22/0.48  in_min_size:               2
% 0.22/0.48  in_max_size:              17
% 0.22/0.48  in_min_vars:               0
% 0.22/0.48  in_max_vars:               3
% 0.22/0.48  in_extaxiom_count:               139
% 0.22/0.48  in_axiom_count:                    6
% 0.22/0.48  in_assumption_count:               0
% 0.22/0.48  in_goal_count:                     1
% 0.22/0.48  in_neg_goal_count:                 1
% 0.22/0.48  in_pos_goal_count:                 0
% 0.22/0.48  in_posunit_goal_count:             0
% 0.22/0.48  
% 0.22/0.48  auto guide:
% 0.22/0.48  -----------
% 0.22/0.48  {
% 0.22/0.48  "print":1,
% 0.22/0.48  "print_level": 15,
% 0.22/0.48  "max_size": 0,
% 0.22/0.48  "max_depth": 0,
% 0.22/0.48  "max_length": 0,
% 0.22/0.48  "max_dseconds": 0,
% 0.22/0.48  "runs":[
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.22/0.48  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.48  {"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},
% 0.22/0.48  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.22/0.48  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.48  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.22/0.48  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.48  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.48  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.48  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
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% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.48  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.48  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.48  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.48  {"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},
% 0.22/0.48  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.48  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.48  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.48  {"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},
% 0.22/0.48  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.22/0.48  
% 0.22/0.48  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.22/0.48  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
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% 0.22/0.48  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.22/0.48  
% 0.22/0.48  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
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% 0.22/0.48  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
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% 0.22/0.48  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.48  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.22/0.48  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.48  
% 0.22/0.48  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.22/0.48  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.22/0.48  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.48  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.48  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.22/0.48  
% 0.22/0.48  ]}
% 0.22/0.48  
% 0.22/0.49  
% 0.22/0.49  **** run 1 fork 0 starts with strategy
% 0.22/0.49  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.22/0.49  
% 0.22/0.49  **** run 2 fork 1 starts with strategy
% 0.22/0.49  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.22/0.50  
% 0.22/0.50  **** run 3 fork 2 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.22/0.50  
% 0.22/0.50  **** run 4 fork 3 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.51  
% 0.22/0.51  **** run 5 fork 4 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.51  
% 0.22/0.51  **** run 6 fork 5 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.52  
% 0.22/0.52  **** run 7 fork 6 starts with strategy
% 0.22/0.52  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.53  
% 0.22/0.53  **** run 8 fork 7 starts with strategy
% 0.22/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.54  
% 0.22/0.54  fork 2: search finished without proof.
% 0.22/0.54  
% 0.22/0.54  fork 1: search finished without proof.
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% 0.22/0.54  fork 3: search finished without proof.
% 0.22/0.61  
% 0.22/0.61  
% 0.22/0.61  fork 0: search terminated without proof.
% 1.19/0.65  
% 1.19/0.65  
% 1.19/0.65  fork 4: search terminated without proof.
% 1.19/0.66  
% 1.19/0.66  **** run 11 fork 2 starts with strategy
% 1.19/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 1.19/0.66  
% 1.19/0.66  **** run 12 fork 3 starts with strategy
% 1.19/0.66  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.19/0.67  
% 1.19/0.67  
% 1.19/0.67  fork 7: search terminated without proof.
% 1.19/0.67  
% 1.19/0.67  **** run 9 fork 0 starts with strategy
% 1.19/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.19/0.68  
% 1.19/0.68  
% 1.19/0.68  fork 5: search terminated without proof.
% 1.19/0.69  
% 1.19/0.69  
% 1.19/0.69  fork 6: search terminated without proof.
% 1.19/0.72  
% 1.19/0.72  **** run 10 fork 1 starts with strategy
% 1.79/0.72  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.79/0.75  
% 1.79/0.75  **** run 13 fork 4 starts with strategy
% 1.79/0.75  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 1.79/0.78  
% 1.79/0.78  **** run 16 fork 7 starts with strategy
% 1.79/0.78  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 1.79/0.79  
% 1.79/0.79  
% 1.79/0.79  fork 0: search terminated without proof.
% 1.79/0.79  
% 1.79/0.79  **** run 14 fork 5 starts with strategy
% 1.79/0.79  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 2.41/0.80  
% 2.41/0.80  **** run 15 fork 6 starts with strategy
% 2.41/0.80  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 2.41/0.80  
% 2.41/0.80  
% 2.41/0.80  fork 3: search terminated without proof.
% 2.41/0.80  
% 2.41/0.80  
% 2.41/0.80  fork 2: search terminated without proof.
% 2.41/0.84  
% 2.41/0.84  **** run 17 fork 0 starts with strategy
% 2.41/0.84  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 2.41/0.88  
% 2.41/0.88  **** run 20 fork 3 starts with strategy
% 2.41/0.88  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 2.41/0.89  
% 2.41/0.89  
% 2.41/0.89  fork 4: search terminated without proof.
% 3.11/0.90  
% 3.11/0.90  **** run 19 fork 2 starts with strategy
% 3.11/0.90  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.11/0.92  
% 3.11/0.92  
% 3.11/0.92  fork 7: search terminated without proof.
% 3.11/0.93  
% 3.11/0.93  
% 3.11/0.93  fork 5: search terminated without proof.
% 3.11/0.95  
% 3.11/0.95  
% 3.11/0.95  fork 6: search terminated without proof.
% 3.11/0.97  
% 3.11/0.97  
% 3.11/0.97  fork 0: search terminated without proof.
% 3.11/0.99  
% 3.11/0.99  fork 3: search finished without proof.
% 3.81/1.00  
% 3.81/1.00  **** run 21 fork 4 starts with strategy
% 3.81/1.00  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.81/1.02  
% 3.81/1.02  **** run 25 fork 0 starts with strategy
% 3.81/1.02  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":2}
% 3.81/1.02  
% 3.81/1.02  **** run 24 fork 7 starts with strategy
% 3.81/1.02  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 3.81/1.03  
% 3.81/1.03  **** run 22 fork 5 starts with strategy
% 3.81/1.03  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 3.81/1.04  
% 3.81/1.04  **** run 28 fork 3 starts with strategy
% 3.81/1.04  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.81/1.06  
% 3.81/1.06  **** run 23 fork 6 starts with strategy
% 3.81/1.06  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 3.81/1.09  
% 3.81/1.09  fork 0: search finished without proof.
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  fork 2: search terminated without proof.
% 4.74/1.13  
% 4.74/1.13  **** run 33 fork 0 starts with strategy
% 4.74/1.13  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 4.74/1.14  
% 4.74/1.14  
% 4.74/1.14  fork 4: search terminated without proof.
% 4.74/1.15  
% 4.74/1.15  fork 5: search finished without proof.
% 4.74/1.17  
% 4.74/1.17  
% 4.74/1.17  fork 7: search terminated without proof.
% 4.74/1.18  
% 4.74/1.18  
% 4.74/1.18  fork 3: search terminated without proof.
% 4.74/1.20  
% 4.74/1.20  **** run 27 fork 2 starts with strategy
% 4.74/1.20  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 4.74/1.22  
% 4.74/1.22  
% 4.74/1.22  fork 6: search terminated without proof.
% 4.74/1.23  
% 4.74/1.23  **** run 30 fork 5 starts with strategy
% 4.74/1.23  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 5.38/1.24  
% 5.38/1.24  **** run 36 fork 3 starts with strategy
% 5.38/1.24  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 5.38/1.25  
% 5.38/1.25  **** run 29 fork 4 starts with strategy
% 5.38/1.25  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 5.38/1.27  
% 5.38/1.27  **** run 32 fork 7 starts with strategy
% 5.38/1.27  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"length_penalty":100}
% 5.38/1.28  
% 5.38/1.28  fork 3: search finished without proof.
% 5.78/1.32  
% 5.78/1.32  **** run 31 fork 6 starts with strategy
% 5.78/1.32  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 5.78/1.33  
% 5.78/1.33  **** run 44 fork 3 starts with strategy
% 5.78/1.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 6.14/1.46  
% 6.14/1.46  
% 6.14/1.46  fork 7: search terminated without proof.
% 6.14/1.46  
% 6.14/1.46  
% 6.14/1.46  fork 6: search terminated without proof.
% 6.14/1.47  
% 6.14/1.47  
% 6.14/1.47  fork 3: search terminated without proof.
% 6.14/1.50  
% 6.14/1.50  
% 6.14/1.50  result: proof found
% 6.14/1.50  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.14/1.50  by run 33 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 6.14/1.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.14/1.50  
% 6.14/1.50  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.14/1.50  fof('$inc_adjunction_$sk', plain, ((~adjunction | (is_a_theorem(and(X2,X1)) | (~is_a_theorem(X1) | ~is_a_theorem(X2)))) & (adjunction | (~is_a_theorem(and($sk36,$sk35)) & (is_a_theorem($sk35) & is_a_theorem($sk36))))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_adjunction'])).
% 6.14/1.50  fof('$inc_adjunction', axiom, (adjunction <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(Y)) => is_a_theorem(and(X,Y))))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 6.14/1.50  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk77,implies($sk76,and($sk77,$sk76)))))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 6.14/1.50  fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_hilbert_and_3', axiom, and_3,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_op_strict_equiv_$sk', plain, ((strict_equiv(X2,X1) = and(strict_implies(X2,X1),strict_implies(X1,X2))) | ~op_strict_equiv),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_op_strict_equiv'])).
% 6.14/1.50  fof('$inc_op_strict_equiv', axiom, (op_strict_equiv => (! [X,Y] : (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('s1_0_op_strict_equiv', axiom, op_strict_equiv,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_and_1_$sk', plain, ((~and_1 | is_a_theorem(implies(and(X2,X1),X2))) & (and_1 | ~is_a_theorem(implies(and($sk81,$sk80),$sk81)))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 6.14/1.50  fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_hilbert_and_1', axiom, and_1,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_substitution_strict_equiv_$sk', plain, ((~substitution_strict_equiv | ((X2 = X1) | ~is_a_theorem(strict_equiv(X2,X1)))) & (substitution_strict_equiv | (~($sk34 = $sk33) & is_a_theorem(strict_equiv($sk34,$sk33))))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_substitution_strict_equiv'])).
% 6.14/1.50  fof('$inc_substitution_strict_equiv', axiom, (substitution_strict_equiv <=> (! [X,Y] : (is_a_theorem(strict_equiv(X,Y)) => (X = Y)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('s1_0_substitution_strict_equiv_$sk', plain, ~substitution_strict_equiv,
% 6.14/1.50    inference(negpush_and_skolemize,[],['s1_0_substitution_strict_equiv'])).
% 6.14/1.50  fof('s1_0_substitution_strict_equiv', conjecture, substitution_strict_equiv,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 6.14/1.50  fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 6.14/1.50  fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_km5_axiom_M', axiom, axiom_M,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk79,$sk78),$sk78)))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 6.14/1.50  fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_hilbert_and_2', axiom, and_2,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 6.14/1.50  fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk92 = $sk91) & is_a_theorem(equiv($sk92,$sk91))))),
% 6.14/1.50    inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 6.14/1.50  fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 6.14/1.50    input). 
% 6.14/1.50  fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 6.14/1.50    input). 
% 6.14/1.50  cnf('1', plain, (~$pr(adjunction) | is_a_theorem(and(X0,X1)) | ~is_a_theorem(X1) | ~is_a_theorem(X0)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_adjunction_$sk'])).
% 6.14/1.50  cnf('2', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 6.14/1.50  cnf('3', plain, ($pr(modus_ponens)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 6.14/1.50  cnf('4', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 6.14/1.50    inference(simplify,[],['2','3'])).
% 6.14/1.50  cnf('5', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 6.14/1.50  cnf('6', plain, ($pr(and_3)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 6.14/1.50  cnf('7', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 6.14/1.50    inference(simplify,[],['5','6'])).
% 6.14/1.50  cnf('8', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 6.14/1.50    inference(resolution,[],['4','7'])).
% 6.14/1.50  cnf('9', plain, ($pr(adjunction) | is_a_theorem($sk36)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_adjunction_$sk'])).
% 6.14/1.50  cnf('10', plain, ($pr(adjunction) | is_a_theorem(implies(X,and($sk36,X)))),
% 6.14/1.50    inference(resolution,[],['8','9'])).
% 6.14/1.50  cnf('11', plain, ($pr(adjunction) | is_a_theorem(and($sk36,X)) | ~is_a_theorem(X)),
% 6.14/1.50    inference(resolution,[],['10','4'])).
% 6.14/1.50  cnf('12', plain, ($pr(adjunction) | is_a_theorem($sk35)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_adjunction_$sk'])).
% 6.14/1.50  cnf('13', plain, (is_a_theorem(and($sk36,$sk35)) | $pr(adjunction)),
% 6.14/1.50    inference(resolution,[],['11','12'])).
% 6.14/1.50  cnf('14', plain, (~is_a_theorem(and($sk36,$sk35)) | $pr(adjunction)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_adjunction_$sk'])).
% 6.14/1.50  cnf('15', plain, ($pr(adjunction)),
% 6.14/1.50    inference(resolution,[],['13','14'])).
% 6.14/1.50  cnf('16', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 6.14/1.50    inference(simplify,[],['1','15'])).
% 6.14/1.50  cnf('17', plain, (~$pr(op_strict_equiv) | strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_op_strict_equiv_$sk'])).
% 6.14/1.50  cnf('18', plain, ($pr(op_strict_equiv)),
% 6.14/1.50    inference(cnf_transformation,[],['s1_0_op_strict_equiv'])).
% 6.14/1.50  cnf('19', plain, (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))),
% 6.14/1.50    inference(simplify,[],['17','18'])).
% 6.14/1.50  cnf('20', plain, (~$pr(and_1) | is_a_theorem(implies(and(X0,X1),X0))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 6.14/1.50  cnf('21', plain, ($pr(and_1)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_hilbert_and_1'])).
% 6.14/1.50  cnf('22', plain, (is_a_theorem(implies(and(X,Y),X))),
% 6.14/1.50    inference(simplify,[],['20','21'])).
% 6.14/1.50  cnf('23', plain, (is_a_theorem(implies(strict_equiv(X,Y),strict_implies(X,Y)))),
% 6.14/1.50    inference(paramodulation,[],['19','22'])).
% 6.14/1.50  cnf('24', plain, (~is_a_theorem(strict_equiv(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 6.14/1.50    inference(resolution,[],['4','23'])).
% 6.14/1.50  cnf('25', plain, (is_a_theorem(strict_equiv($sk34,$sk33)) | $pr(substitution_strict_equiv)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_substitution_strict_equiv_$sk'])).
% 6.14/1.50  cnf('26', plain, (~$pr(substitution_strict_equiv)),
% 6.14/1.50    inference(cnf_transformation,[],['s1_0_substitution_strict_equiv_$sk'])).
% 6.14/1.50  cnf('27', plain, (is_a_theorem(strict_equiv($sk34,$sk33))),
% 6.14/1.50    inference(simplify,[],['25','26'])).
% 6.14/1.50  cnf('28', plain, (is_a_theorem(strict_implies($sk34,$sk33))),
% 6.14/1.50    inference(resolution,[],['24','27'])).
% 6.14/1.50  cnf('29', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 6.14/1.50  cnf('30', plain, ($pr(op_strict_implies)),
% 6.14/1.50    inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 6.14/1.50  cnf('31', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 6.14/1.50    inference(simplify,[],['29','30'])).
% 6.14/1.50  cnf('32', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 6.14/1.50  cnf('33', plain, ($pr(axiom_M)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 6.14/1.50  cnf('34', plain, (is_a_theorem(implies(necessarily(X),X))),
% 6.14/1.50    inference(simplify,[],['32','33'])).
% 6.14/1.50  cnf('35', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(X,Y)))),
% 6.14/1.50    inference(paramodulation,[],['31','34'])).
% 6.14/1.50  cnf('36', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 6.14/1.50    inference(resolution,[],['4','35'])).
% 6.14/1.50  cnf('37', plain, (is_a_theorem(implies($sk34,$sk33))),
% 6.14/1.50    inference(resolution,[],['28','36'])).
% 6.14/1.50  cnf('38', plain, (is_a_theorem(and(X,implies($sk34,$sk33))) | ~is_a_theorem(X)),
% 6.14/1.50    inference(resolution,[],['16','37'])).
% 6.14/1.50  cnf('39', plain, (~$pr(and_2) | is_a_theorem(implies(and(X0,X1),X1))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 6.14/1.50  cnf('40', plain, ($pr(and_2)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_hilbert_and_2'])).
% 6.14/1.50  cnf('41', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 6.14/1.50    inference(simplify,[],['39','40'])).
% 6.14/1.50  cnf('42', plain, (is_a_theorem(implies(strict_equiv(X,Y),strict_implies(Y,X)))),
% 6.14/1.50    inference(paramodulation,[],['19','41'])).
% 6.14/1.50  cnf('43', plain, (~is_a_theorem(strict_equiv(X,Y)) | is_a_theorem(strict_implies(Y,X))),
% 6.14/1.50    inference(resolution,[],['4','42'])).
% 6.14/1.50  cnf('44', plain, (is_a_theorem(strict_implies($sk33,$sk34))),
% 6.14/1.50    inference(resolution,[],['43','27'])).
% 6.14/1.50  cnf('45', plain, (is_a_theorem(implies($sk33,$sk34))),
% 6.14/1.50    inference(resolution,[],['44','36'])).
% 6.14/1.50  cnf('46', plain, (is_a_theorem(and(implies($sk33,$sk34),implies($sk34,$sk33)))),
% 6.14/1.50    inference(resolution,[],['38','45'])).
% 6.14/1.50  cnf('47', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 6.14/1.50  cnf('48', plain, ($pr(op_equiv)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 6.14/1.50  cnf('49', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 6.14/1.50    inference(simplify,[],['47','48'])).
% 6.14/1.50  cnf('50', plain, (is_a_theorem(equiv($sk33,$sk34))),
% 6.14/1.50    inference(simplify,[],['46','49'])).
% 6.14/1.50  cnf('51', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 6.14/1.50  cnf('52', plain, ($pr(substitution_of_equivalents)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 6.14/1.50  cnf('53', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 6.14/1.50    inference(simplify,[],['51','52'])).
% 6.14/1.50  cnf('54', plain, ($sk33 = $sk34),
% 6.14/1.50    inference(resolution,[],['50','53'])).
% 6.14/1.50  cnf('55', plain, ($sk34 != $sk33 | $pr(substitution_strict_equiv)),
% 6.14/1.50    inference(cnf_transformation,[],['$inc_substitution_strict_equiv_$sk'])).
% 6.14/1.50  cnf('56', plain, ($sk34 != $sk33),
% 6.14/1.50    inference(simplify,[],['55','26'])).
% 6.14/1.50  cnf('57', plain, ($false),
% 6.14/1.50    inference(paramodulation,[],['54','56'])).
% 6.14/1.50  
% 6.14/1.50  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.14/1.50  
% 6.14/1.50  run 33 fork 0 statistics:
% 6.14/1.50  ----------------------------------
% 6.14/1.50  this run seconds: 0.013622
% 6.14/1.50  total seconds: 0.690182
% 6.14/1.50  stat_given_used: 200
% 6.14/1.50  stat_given_used_at_endgame: 0
% 6.14/1.50  stat_given_candidates:   371
% 6.14/1.50  stat_given_candidates_at_endgame: 0
% 6.14/1.50  stat_given_candidates_h: 0
% 6.14/1.50  stat_binres_derived_cl:   1481
% 6.14/1.50  stat_binres_derived_cl_h: 0
% 6.14/1.50  stat_factor_derived_cl: 1
% 6.14/1.50  stat_para_derived_cl: 61
% 6.14/1.50  stat_tautologies_discarded: 1
% 6.14/1.50  stat_forward_subsumed: 495
% 6.14/1.50  stat_derived_cut: 39
% 6.14/1.50  stat_derived_rewritten: 3
% 6.14/1.50  stat_weight_discarded_building: 0
% 6.14/1.50  stat_weight_discarded_cl: 766
% 6.14/1.50  stat_internlimit_discarded_cl: 0
% 6.14/1.50  stat_simplified:  37 simplified 0 derived 0 given
% 6.14/1.50  stat_kept_cl: 271
% 6.14/1.50  stat_built_cl: 1474
% 6.14/1.50  stat_hyperres_partial_cl: 0
% 6.14/1.50  stat_made_rewriters: 5
% 6.14/1.50  stat_backward_subsumed: 0
% 6.14/1.50  stat_propagated_subsumed: 0
% 6.14/1.50  stat_clsubs_attempted:                       691
% 6.14/1.50  stat_clsubs_fact_groundunit_found:             0
% 6.14/1.50  stat_clsubs_rule_groundunit_found:            36
% 6.14/1.50  stat_clsubs_top_meta_attempted:              15939
% 6.14/1.50  stat_clsubs_top_meta_failed:                 15248
% 6.14/1.50  stat_clsubs_top_meta_nonpref_attempted:               15939
% 6.14/1.50  stat_clsubs_top_meta_nonpref_succeeded:                3072
% 6.14/1.50  stat_clsubs_top_meta_pref_attempted:                   3072
% 6.14/1.50  stat_clsubs_top_meta_pref1_succeeded:                  2676
% 6.14/1.50  stat_clsubs_top_meta_pref2_succeeded:                   818
% 6.14/1.50  stat_clsubs_top_meta_pref3_succeeded:                   691
% 6.14/1.50  stat_clsubs_top_meta_pref_succeeded:                    691
% 6.14/1.50  stat_clsubs_meta_attempted:                 1270
% 6.14/1.50  stat_clsubs_meta_failed:                     326
% 6.14/1.50  stat_clsubs_predsymbs_attempted:               0
% 6.14/1.50  stat_clsubs_unit_attempted:                  315
% 6.14/1.50  stat_clsubs_full_attempted:                  376
% 6.14/1.50  stat_forwardsubs_attempted:                 1532
% 6.14/1.50  stat_lit_hash_added:                    723
% 6.14/1.50  stat_lit_hash_computed:                5602
% 6.14/1.50  stat_lit_hash_match_found:              644
% 6.14/1.50  stat_lit_hash_match_miss:              6628
% 6.14/1.50  stat_lit_hash_cut_ok:                    34
% 6.14/1.50  stat_lit_strong_cut_ok:                   5
% 6.14/1.50  stat_lit_hash_subsume_ok:               495
% 6.14/1.50  clqueue els 10000000 used 1
% 6.14/1.50  clactive els 10000000 used 201
% 6.14/1.50  clactivesubsume els 10000000 used 913
% 6.14/1.50  queue_termbuf els 200000000 used 13629
% 6.14/1.50  hyper_termbuf els 100000000 used 1
% 6.14/1.50  active_termbuf els 100000000 used 5578
% 6.14/1.50  varstack els 5000 last used 1
% 6.14/1.50  given_termbuf els 10000000 last used 1
% 6.14/1.50  simplified_termbuf els 10000000 last used 1
% 6.14/1.50  derived_termbuf els 10000000 last used 22
% 6.14/1.50  wr_mallocs: 2202
% 6.14/1.50  wr_callocs: 21
% 6.14/1.50  wr_reallocs: 104
% 6.14/1.50  wr_frees: 4
% 6.14/1.50  wr_malloc_bytes: 4162674500
% 6.14/1.50  wr_calloc_bytes: 112065536
% 6.14/1.50  wr_realloc_bytes: 21832
% 6.14/1.50  wr_realloc_freebytes: 0
% 6.14/1.50  ----------------------------------
%------------------------------------------------------------------------------