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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL517+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.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 12:08:47 PM UTC 2026

% Result   : Theorem 3.02s 1.02s
% Output   : CNFRefutation 3.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL517+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03  % Command  : gkc %s
% 0.08/0.36  % Computer : n017.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sat Sep  5 14:18:21 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.44  
% 0.08/0.44  input clause set summed statistics:
% 0.08/0.44  ----------------------------------
% 0.08/0.44  in_clause_count:                    72
% 0.08/0.44  in_rule_clause_count:               72
% 0.08/0.44  in_fact_clause_count:                0
% 0.08/0.44  in_answer_clause_count:              0
% 0.08/0.44  in_ground_clause_count:             41
% 0.08/0.44  in_unit_clause_count:               12
% 0.08/0.44  in_horn_clause_count:               69
% 0.08/0.44  in_pos_clause_count:                14
% 0.08/0.44  in_neg_clause_count:                 1
% 0.08/0.44  in_poseq_clause_count:               6
% 0.08/0.44  in_negeq_clause_count:               1
% 0.08/0.44  in_unitposeq_clause_count:           0
% 0.08/0.44  in_chain_clause_count:               0
% 0.08/0.44  in_min_length:             1
% 0.08/0.44  in_max_length:             4
% 0.08/0.44  in_min_depth:              1
% 0.08/0.44  in_max_depth:              5
% 0.08/0.44  in_min_size:               2
% 0.08/0.44  in_max_size:              16
% 0.08/0.44  in_min_vars:               0
% 0.08/0.44  in_max_vars:               3
% 0.08/0.44  in_extaxiom_count:                68
% 0.08/0.44  in_axiom_count:                    3
% 0.08/0.44  in_assumption_count:               0
% 0.08/0.44  in_goal_count:                     1
% 0.08/0.44  in_neg_goal_count:                 1
% 0.08/0.44  in_pos_goal_count:                 0
% 0.08/0.44  in_posunit_goal_count:             0
% 0.08/0.44  
% 0.08/0.44  auto guide:
% 0.08/0.44  -----------
% 0.08/0.44  {
% 0.08/0.44  "print":1,
% 0.08/0.44  "print_level": 15,
% 0.08/0.44  "max_size": 0,
% 0.08/0.44  "max_depth": 0,
% 0.08/0.44  "max_length": 0,
% 0.08/0.44  "max_dseconds": 0,
% 0.08/0.44  "runs":[
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.08/0.44  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.08/0.44  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.08/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.08/0.44  {"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},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.44  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"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},
% 0.08/0.44  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.44  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.44  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.08/0.44  
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.44  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.08/0.44  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.08/0.44  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.08/0.44  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.08/0.44  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.08/0.44  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.08/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.08/0.44  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.08/0.44  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.08/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.08/0.44  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.08/0.44  {"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},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.44  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.08/0.44  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"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},
% 0.08/0.44  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.08/0.44  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.44  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.08/0.44  
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.08/0.44  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.44  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.08/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.08/0.44  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.44  
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.08/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 0.08/0.44  
% 0.08/0.44  ]}
% 0.08/0.44  
% 0.08/0.44  
% 0.08/0.44  **** run 1 fork 0 starts with strategy
% 0.08/0.44  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.08/0.45  
% 0.08/0.45  **** run 2 fork 1 starts with strategy
% 0.08/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.08/0.45  
% 0.08/0.45  **** run 3 fork 2 starts with strategy
% 0.08/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.08/0.45  
% 0.08/0.45  **** run 4 fork 3 starts with strategy
% 0.08/0.45  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.08/0.45  
% 0.08/0.45  **** run 5 fork 4 starts with strategy
% 0.08/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.45  
% 0.08/0.45  **** run 6 fork 5 starts with strategy
% 0.08/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.46  
% 0.08/0.46  **** run 7 fork 6 starts with strategy
% 0.08/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.46  
% 0.22/0.46  **** run 8 fork 7 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.48  
% 0.22/0.48  fork 3: search finished without proof.
% 0.22/0.55  
% 0.22/0.55  
% 0.22/0.55  fork 1: search terminated without proof.
% 0.22/0.55  
% 0.22/0.55  
% 0.22/0.55  fork 2: search terminated without proof.
% 0.22/0.55  
% 0.22/0.55  
% 0.22/0.55  fork 4: search terminated without proof.
% 0.22/0.56  
% 0.22/0.56  **** run 12 fork 3 starts with strategy
% 0.22/0.56  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.82/0.59  
% 0.82/0.59  
% 0.82/0.59  fork 5: search terminated without proof.
% 0.82/0.59  
% 0.82/0.59  
% 0.82/0.59  fork 7: search terminated without proof.
% 0.82/0.62  
% 0.82/0.62  
% 0.82/0.62  fork 0: search terminated without proof.
% 0.82/0.62  
% 0.82/0.62  **** run 10 fork 1 starts with strategy
% 0.82/0.62  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.82/0.63  
% 0.82/0.63  **** run 11 fork 2 starts with strategy
% 0.82/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.82/0.63  
% 0.82/0.63  **** run 13 fork 4 starts with strategy
% 0.82/0.63  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.82/0.63  
% 0.82/0.63  **** run 14 fork 5 starts with strategy
% 0.82/0.63  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.34/0.66  
% 1.34/0.66  **** run 16 fork 7 starts with strategy
% 1.34/0.66  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.34/0.66  
% 1.34/0.66  
% 1.34/0.66  fork 3: search terminated without proof.
% 1.34/0.67  
% 1.34/0.67  
% 1.34/0.67  fork 6: search terminated without proof.
% 1.82/0.73  
% 1.82/0.73  
% 1.82/0.73  fork 1: search terminated without proof.
% 1.82/0.73  
% 1.82/0.73  **** run 15 fork 6 starts with strategy
% 1.82/0.73  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.82/0.73  
% 1.82/0.73  **** run 20 fork 3 starts with strategy
% 1.82/0.73  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.82/0.73  
% 1.82/0.73  
% 1.82/0.73  fork 2: search terminated without proof.
% 1.82/0.73  
% 1.82/0.73  fork 4: search finished without proof.
% 1.82/0.73  
% 1.82/0.73  **** run 9 fork 0 starts with strategy
% 1.82/0.73  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.82/0.77  
% 1.82/0.77  
% 1.82/0.77  fork 7: search terminated without proof.
% 2.51/0.80  
% 2.51/0.80  **** run 18 fork 1 starts with strategy
% 2.51/0.80  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.51/0.80  
% 2.51/0.80  **** run 19 fork 2 starts with strategy
% 2.51/0.80  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.51/0.81  
% 2.51/0.81  **** run 21 fork 4 starts with strategy
% 2.51/0.81  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.51/0.82  
% 2.51/0.82  **** run 24 fork 7 starts with strategy
% 2.51/0.82  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 3.02/0.91  
% 3.02/0.91  
% 3.02/0.91  fork 1: search terminated without proof.
% 3.02/0.91  
% 3.02/0.91  
% 3.02/0.91  fork 3: search terminated without proof.
% 3.02/0.91  
% 3.02/0.91  
% 3.02/0.91  fork 4: search terminated without proof.
% 3.02/0.93  
% 3.02/0.93  
% 3.02/0.93  fork 7: search terminated without proof.
% 3.02/0.96  
% 3.02/0.96  **** run 28 fork 3 starts with strategy
% 3.02/0.96  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.02/0.97  
% 3.02/0.97  **** run 32 fork 7 starts with strategy
% 3.02/0.97  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.02/0.98  
% 3.02/0.98  **** run 26 fork 1 starts with strategy
% 3.02/0.98  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.02/0.99  
% 3.02/0.99  **** run 29 fork 4 starts with strategy
% 3.02/0.99  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 3.02/1.02  
% 3.02/1.02  
% 3.02/1.02  result: proof found
% 3.02/1.02  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.02/1.02  by run 14 fork 5 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 3.02/1.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.02/1.02  
% 3.02/1.02  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.02/1.02  fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 3.02/1.02  fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('luka_op_or', axiom, op_or,
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 3.02/1.02  fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_rosser_op_implies_and', axiom, op_implies_and,
% 3.02/1.02    input). 
% 3.02/1.02  fof('$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,$sk20))))))),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_kn3'])).
% 3.02/1.02  fof('$inc_kn3', axiom, (kn3 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_rosser_kn3', axiom, kn3,
% 3.02/1.02    input). 
% 3.02/1.02  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))))),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 3.02/1.02  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_rosser_modus_ponens', axiom, modus_ponens,
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_kn1_$sk', plain, ((~kn1 | is_a_theorem(implies(X1,and(X1,X1)))) & (kn1 | ~is_a_theorem(implies($sk23,and($sk23,$sk23))))),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_kn1'])).
% 3.02/1.02  fof('$inc_kn1', axiom, (kn1 <=> (! [P] : is_a_theorem(implies(P,and(P,P))))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_rosser_kn1', axiom, kn1,
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_kn2_$sk', plain, ((~kn2 | is_a_theorem(implies(and(X2,X1),X2))) & (kn2 | ~is_a_theorem(implies(and($sk22,$sk21),$sk22)))),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_kn2'])).
% 3.02/1.02  fof('$inc_kn2', axiom, (kn2 <=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_rosser_kn2', axiom, kn2,
% 3.02/1.02    input). 
% 3.02/1.02  fof('$inc_cn3_$sk', plain, ((~cn3 | is_a_theorem(implies(implies(not(X1),X1),X1))) & (cn3 | ~is_a_theorem(implies(implies(not($sk12),$sk12),$sk12)))),
% 3.02/1.02    inference(negpush_and_skolemize,[],['$inc_cn3'])).
% 3.02/1.02  fof('$inc_cn3', axiom, (cn3 <=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)))),
% 3.02/1.02    input). 
% 3.02/1.02  fof('luka_cn3_$sk', plain, ~cn3,
% 3.02/1.02    inference(negpush_and_skolemize,[],['luka_cn3'])).
% 3.02/1.02  fof('luka_cn3', conjecture, cn3,
% 3.02/1.02    input). 
% 3.02/1.02  cnf('1', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 3.02/1.02  cnf('2', plain, ($pr(op_or)),
% 3.02/1.02    inference(cnf_transformation,[],['luka_op_or'])).
% 3.02/1.02  cnf('3', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 3.02/1.02  cnf('4', plain, ($pr(op_implies_and)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_rosser_op_implies_and'])).
% 3.02/1.02  cnf('5', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 3.02/1.02    inference(simplify,[],['3','4'])).
% 3.02/1.02  cnf('6', plain, (or(X,Y) = implies(not(X),Y)),
% 3.02/1.02    inference(simplify,[then_simplify],['1','2','5'])).
% 3.02/1.02  cnf('7', plain, (~$pr(kn3) | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_kn3_$sk'])).
% 3.02/1.02  cnf('8', plain, ($pr(kn3)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_rosser_kn3'])).
% 3.02/1.02  cnf('9', plain, (is_a_theorem(implies(implies(X,Y),or(and(Y,Z),not(and(Z,X)))))),
% 3.02/1.02    inference(simplify,[then_simplify],['7','8','6'])).
% 3.02/1.02  cnf('10', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 3.02/1.02  cnf('11', plain, ($pr(modus_ponens)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_rosser_modus_ponens'])).
% 3.02/1.02  cnf('12', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 3.02/1.02    inference(simplify,[],['10','11'])).
% 3.02/1.02  cnf('13', plain, (is_a_theorem(or(and(X,Y),not(and(Y,Z)))) | ~is_a_theorem(implies(Z,X))),
% 3.02/1.02    inference(resolution,[],['9','12'])).
% 3.02/1.02  cnf('14', plain, (is_a_theorem(or(and(X3,Y3),implies(Y3,Z3))) | ~is_a_theorem(implies(not(Z3),X3))),
% 3.02/1.02    inference(paramodulation,[],['5','13'])).
% 3.02/1.02  cnf('15', plain, (is_a_theorem(or(and(X,Y),implies(Y,Z))) | ~is_a_theorem(or(Z,X))),
% 3.02/1.02    inference(simplify,[],['14','6'])).
% 3.02/1.02  cnf('16', plain, (is_a_theorem(or(and(X3,not(Y3)),or(Y3,Z3))) | ~is_a_theorem(or(Z3,X3))),
% 3.02/1.02    inference(paramodulation,[],['6','15'])).
% 3.02/1.02  cnf('17', plain, (or(and(X,not(Y)),Z) = implies(implies(X,Y),Z)),
% 3.02/1.02    inference(paramodulation,[],['5','6'])).
% 3.02/1.02  cnf('18', plain, (is_a_theorem(implies(implies(X,Y),or(Y,Z))) | ~is_a_theorem(or(Z,X))),
% 3.02/1.02    inference(simplify,[],['16','17'])).
% 3.02/1.02  cnf('19', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(Z,X)) | is_a_theorem(or(Y,Z))),
% 3.02/1.02    inference(resolution,[],['18','12'])).
% 3.02/1.02  cnf('20', plain, (~$pr(kn1) | is_a_theorem(implies(X0,and(X0,X0)))),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_kn1_$sk'])).
% 3.02/1.02  cnf('21', plain, ($pr(kn1)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_rosser_kn1'])).
% 3.02/1.02  cnf('22', plain, (is_a_theorem(implies(X,and(X,X)))),
% 3.02/1.02    inference(simplify,[],['20','21'])).
% 3.02/1.02  cnf('23', plain, (is_a_theorem(or(and(X,X),Y)) | ~is_a_theorem(or(Y,X))),
% 3.02/1.02    inference(resolution,[],['19','22'])).
% 3.02/1.02  cnf('24', plain, (~$pr(kn2) | is_a_theorem(implies(and(X0,X1),X0))),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_kn2_$sk'])).
% 3.02/1.02  cnf('25', plain, ($pr(kn2)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_rosser_kn2'])).
% 3.02/1.02  cnf('26', plain, (is_a_theorem(implies(and(X,Y),X))),
% 3.02/1.02    inference(simplify,[],['24','25'])).
% 3.02/1.02  cnf('27', plain, (~is_a_theorem(or(X,and(Y,Z))) | is_a_theorem(or(Y,X))),
% 3.02/1.02    inference(resolution,[],['19','26'])).
% 3.02/1.02  cnf('28', plain, (~is_a_theorem(or(and(X,Y),Z)) | is_a_theorem(or(X,and(Z,Z)))),
% 3.02/1.02    inference(resolution,[],['23','27'])).
% 3.02/1.02  cnf('29', plain, (~is_a_theorem(or(and(X,Y),Z)) | is_a_theorem(or(Z,X))),
% 3.02/1.02    inference(resolution,[],['28','27'])).
% 3.02/1.02  cnf('30', plain, (is_a_theorem(or(implies(X,Y),Z)) | ~is_a_theorem(or(Y,Z))),
% 3.02/1.02    inference(resolution,[],['29','15'])).
% 3.02/1.02  cnf('31', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(X)) | is_a_theorem(Y)),
% 3.02/1.02    inference(paramodulation,[],['6','12'])).
% 3.02/1.02  cnf('32', plain, (~is_a_theorem(not(and(X,X))) | ~is_a_theorem(or(Y,X)) | is_a_theorem(Y)),
% 3.02/1.02    inference(resolution,[],['23','31'])).
% 3.02/1.02  cnf('33', plain, (is_a_theorem(or(X,and(not(X),not(X))))),
% 3.02/1.02    inference(paramodulation,[],['6','22'])).
% 3.02/1.02  cnf('34', plain, (is_a_theorem(or(not(X),X))),
% 3.02/1.02    inference(resolution,[],['27','33'])).
% 3.02/1.02  cnf('35', plain, (is_a_theorem(or(X,not(and(X,Y))))),
% 3.02/1.02    inference(resolution,[],['34','27'])).
% 3.02/1.02  cnf('36', plain, (is_a_theorem(not(and(X,Y))) | ~is_a_theorem(not(X))),
% 3.02/1.02    inference(resolution,[],['35','31'])).
% 3.02/1.02  cnf('37', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(Y)) | is_a_theorem(X)),
% 3.02/1.02    inference(resolution,[],['32','36'])).
% 3.02/1.02  cnf('38', plain, (~is_a_theorem(not(and(not(X3),not(X3)))) | is_a_theorem(X3)),
% 3.02/1.02    inference(resolution,[],['37','33'])).
% 3.02/1.02  cnf('39', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 3.02/1.02    inference(simplify,[then_simplify],['38','5','6'])).
% 3.02/1.02  cnf('40', plain, (~is_a_theorem(or(X,implies(Y,X))) | is_a_theorem(implies(Y,X))),
% 3.02/1.02    inference(resolution,[],['30','39'])).
% 3.02/1.02  cnf('41', plain, (is_a_theorem(or(X,implies(X,Y)))),
% 3.02/1.02    inference(paramodulation,[],['5','35'])).
% 3.02/1.02  cnf('42', plain, (is_a_theorem(implies(X,X))),
% 3.02/1.02    inference(resolution,[],['40','41'])).
% 3.02/1.02  cnf('43', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 3.02/1.02    inference(resolution,[],['42','19'])).
% 3.02/1.02  cnf('44', plain, (is_a_theorem(or(and(not(X3),not(X3)),X3))),
% 3.02/1.02    inference(resolution,[],['43','33'])).
% 3.02/1.02  cnf('45', plain, (is_a_theorem(implies(or(X,X),X))),
% 3.02/1.02    inference(simplify,[then_simplify],['44','17','6'])).
% 3.02/1.02  cnf('46', plain, (is_a_theorem(or(implies(X,Y),and(X,not(Y))))),
% 3.02/1.02    inference(paramodulation,[],['5','34'])).
% 3.02/1.02  cnf('47', plain, (~is_a_theorem(not(and(X3,not(Y3)))) | is_a_theorem(implies(X3,Y3))),
% 3.02/1.02    inference(resolution,[],['37','46'])).
% 3.02/1.02  cnf('48', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 3.02/1.02    inference(simplify,[],['47','5'])).
% 3.02/1.02  cnf('49', plain, (~is_a_theorem(implies(implies(not($sk12),$sk12),$sk12)) | $pr(cn3)),
% 3.02/1.02    inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 3.02/1.02  cnf('50', plain, (~$pr(cn3)),
% 3.02/1.02    inference(cnf_transformation,[],['luka_cn3_$sk'])).
% 3.02/1.02  cnf('51', plain, (~is_a_theorem(implies(implies(not($sk12),$sk12),$sk12))),
% 3.02/1.02    inference(simplify,[],['49','50'])).
% 3.02/1.02  cnf('52', plain, (~is_a_theorem(implies(or($sk12,$sk12),$sk12))),
% 3.02/1.02    inference(paramodulation,[],['6','51'])).
% 3.02/1.02  cnf('53', plain, ($false),
% 3.02/1.02    inference(resolution,[then_simplify],['45','48','52'])).
% 3.02/1.02  
% 3.02/1.02  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.02/1.02  
% 3.02/1.02  run 14 fork 5 statistics:
% 3.02/1.02  ----------------------------------
% 3.02/1.02  this run seconds: 0.076647
% 3.02/1.02  total seconds: 0.220548
% 3.02/1.02  stat_given_used: 958
% 3.02/1.02  stat_given_used_at_endgame: 0
% 3.02/1.02  stat_given_candidates:   3426
% 3.02/1.02  stat_given_candidates_at_endgame: 0
% 3.02/1.02  stat_given_candidates_h: 0
% 3.02/1.02  stat_binres_derived_cl:   5701
% 3.02/1.02  stat_binres_derived_cl_h: 0
% 3.02/1.02  stat_factor_derived_cl: 3
% 3.02/1.02  stat_para_derived_cl: 3672
% 3.02/1.02  stat_tautologies_discarded: 487
% 3.02/1.02  stat_forward_subsumed: 1831
% 3.02/1.02  stat_derived_cut: 682
% 3.02/1.02  stat_derived_rewritten: 108
% 3.02/1.02  stat_weight_discarded_building: 0
% 3.02/1.02  stat_weight_discarded_cl: 1287
% 3.02/1.02  stat_internlimit_discarded_cl: 0
% 3.02/1.02  stat_simplified:  602 simplified 0 derived 0 given
% 3.02/1.02  stat_kept_cl: 5670
% 3.02/1.02  stat_built_cl: 9475
% 3.02/1.02  stat_hyperres_partial_cl: 0
% 3.02/1.02  stat_made_rewriters: 7
% 3.02/1.02  stat_backward_subsumed: 0
% 3.02/1.02  stat_propagated_subsumed: 0
% 3.02/1.02  stat_clsubs_attempted:                      6825
% 3.02/1.02  stat_clsubs_fact_groundunit_found:             2
% 3.02/1.02  stat_clsubs_rule_groundunit_found:            16
% 3.02/1.02  stat_clsubs_top_meta_attempted:            1201631
% 3.02/1.02  stat_clsubs_top_meta_failed:               1194806
% 3.02/1.02  stat_clsubs_top_meta_nonpref_attempted:             1201631
% 3.02/1.02  stat_clsubs_top_meta_nonpref_succeeded:              178757
% 3.02/1.02  stat_clsubs_top_meta_pref_attempted:                 178757
% 3.02/1.02  stat_clsubs_top_meta_pref1_succeeded:                136946
% 3.02/1.02  stat_clsubs_top_meta_pref2_succeeded:                  8231
% 3.02/1.02  stat_clsubs_top_meta_pref3_succeeded:                  6825
% 3.02/1.02  stat_clsubs_top_meta_pref_succeeded:                   6825
% 3.02/1.02  stat_clsubs_meta_attempted:                18194
% 3.02/1.02  stat_clsubs_meta_failed:                    7699
% 3.02/1.02  stat_clsubs_predsymbs_attempted:               0
% 3.02/1.02  stat_clsubs_unit_attempted:                  949
% 3.02/1.02  stat_clsubs_full_attempted:                 5876
% 3.02/1.02  stat_forwardsubs_attempted:                 8789
% 3.02/1.02  stat_lit_hash_added:                   2051
% 3.02/1.02  stat_lit_hash_computed:               73946
% 3.02/1.02  stat_lit_hash_match_found:             2327
% 3.02/1.02  stat_lit_hash_match_miss:             92626
% 3.02/1.02  stat_lit_hash_cut_ok:                   685
% 3.02/1.02  stat_lit_strong_cut_ok:                   3
% 3.02/1.02  stat_lit_hash_subsume_ok:              1831
% 3.02/1.02  clqueue els 10000000 used 1
% 3.02/1.02  clactive els 10000000 used 959
% 3.02/1.02  clactivesubsume els 10000000 used 5629
% 3.02/1.02  queue_termbuf els 200000000 used 387780
% 3.02/1.02  hyper_termbuf els 100000000 used 1
% 3.02/1.02  active_termbuf els 100000000 used 37011
% 3.02/1.02  varstack els 5000 last used 1
% 3.02/1.02  given_termbuf els 10000000 last used 1
% 3.02/1.02  simplified_termbuf els 10000000 last used 1
% 3.02/1.02  derived_termbuf els 10000000 last used 35
% 3.02/1.02  wr_mallocs: 5573
% 3.02/1.02  wr_callocs: 21
% 3.02/1.02  wr_reallocs: 663
% 3.02/1.02  wr_frees: 2
% 3.02/1.02  wr_malloc_bytes: 4162772836
% 3.02/1.02  wr_calloc_bytes: 112065536
% 3.02/1.02  wr_realloc_bytes: 203912
% 3.02/1.02  wr_realloc_freebytes: 0
% 3.02/1.02  ----------------------------------
%------------------------------------------------------------------------------