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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL509+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n013.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 12:08:46 PM UTC 2026

% Result   : Theorem 4.90s 1.30s
% Output   : CNFRefutation 4.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL509+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : gkc %s
% 0.10/0.37  % Computer : n013.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep  5 21:35:20 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.22/0.51  
% 0.22/0.51  input clause set summed statistics:
% 0.22/0.51  ----------------------------------
% 0.22/0.51  in_clause_count:                    72
% 0.22/0.51  in_rule_clause_count:               72
% 0.22/0.51  in_fact_clause_count:                0
% 0.22/0.51  in_answer_clause_count:              0
% 0.22/0.51  in_ground_clause_count:             41
% 0.22/0.51  in_unit_clause_count:               12
% 0.22/0.51  in_horn_clause_count:               69
% 0.22/0.51  in_pos_clause_count:                14
% 0.22/0.51  in_neg_clause_count:                 1
% 0.22/0.51  in_poseq_clause_count:               6
% 0.22/0.51  in_negeq_clause_count:               1
% 0.22/0.51  in_unitposeq_clause_count:           0
% 0.22/0.51  in_chain_clause_count:               0
% 0.22/0.51  in_min_length:             1
% 0.22/0.51  in_max_length:             4
% 0.22/0.51  in_min_depth:              1
% 0.22/0.51  in_max_depth:              5
% 0.22/0.51  in_min_size:               2
% 0.22/0.51  in_max_size:              16
% 0.22/0.51  in_min_vars:               0
% 0.22/0.51  in_max_vars:               3
% 0.22/0.51  in_extaxiom_count:                68
% 0.22/0.51  in_axiom_count:                    3
% 0.22/0.51  in_assumption_count:               0
% 0.22/0.51  in_goal_count:                     1
% 0.22/0.51  in_neg_goal_count:                 1
% 0.22/0.51  in_pos_goal_count:                 0
% 0.22/0.51  in_posunit_goal_count:             0
% 0.22/0.51  
% 0.22/0.51  auto guide:
% 0.22/0.51  -----------
% 0.22/0.51  {
% 0.22/0.51  "print":1,
% 0.22/0.51  "print_level": 15,
% 0.22/0.51  "max_size": 0,
% 0.22/0.51  "max_depth": 0,
% 0.22/0.51  "max_length": 0,
% 0.22/0.51  "max_dseconds": 0,
% 0.22/0.51  "runs":[
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.51  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.51  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.51  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.51  {"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},
% 0.22/0.51  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.51  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.22/0.51  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.51  {"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},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.51  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.51  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"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},
% 0.22/0.51  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.51  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.51  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.22/0.51  
% 0.22/0.51  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
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% 0.22/0.51  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
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% 0.22/0.51  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
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% 0.22/0.51  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.51  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.22/0.51  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
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% 0.22/0.51  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.51  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.51  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.51  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.51  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.51  {"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},
% 0.22/0.51  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.22/0.51  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.51  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.51  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.51  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.51  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.51  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.22/0.51  {"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},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.51  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.51  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"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},
% 0.22/0.51  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.51  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.51  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.22/0.51  
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% 0.22/0.51  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
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% 0.22/0.51  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
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% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
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% 0.22/0.51  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.22/0.51  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.51  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
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% 0.22/0.51  
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% 0.22/0.51  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.51  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.51  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 0.22/0.51  
% 0.22/0.51  ]}
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  **** run 1 fork 0 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.51  
% 0.22/0.51  **** run 2 fork 1 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.52  
% 0.22/0.52  **** run 3 fork 2 starts with strategy
% 0.22/0.52  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.52  
% 0.22/0.52  **** run 4 fork 3 starts with strategy
% 0.22/0.52  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.52  
% 0.22/0.52  **** run 5 fork 4 starts with strategy
% 0.22/0.52  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.52  
% 0.22/0.52  **** run 6 fork 5 starts with strategy
% 0.22/0.52  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.53  
% 0.22/0.53  **** run 7 fork 6 starts with strategy
% 0.22/0.53  {"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":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.55  
% 0.22/0.55  fork 3: search finished without proof.
% 0.61/0.61  
% 0.61/0.61  **** run 12 fork 3 starts with strategy
% 0.61/0.61  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.61/0.62  
% 0.61/0.62  
% 0.61/0.62  fork 1: search terminated without proof.
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% 0.61/0.62  fork 2: search terminated without proof.
% 0.61/0.64  
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% 0.61/0.64  fork 4: search terminated without proof.
% 0.61/0.64  
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% 0.61/0.64  fork 7: search terminated without proof.
% 1.06/0.67  
% 1.06/0.67  
% 1.06/0.67  fork 5: search terminated without proof.
% 1.06/0.68  
% 1.06/0.68  
% 1.06/0.68  fork 0: search terminated without proof.
% 1.06/0.69  
% 1.06/0.69  **** run 10 fork 1 starts with strategy
% 1.06/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.06/0.69  
% 1.06/0.69  **** run 11 fork 2 starts with strategy
% 1.06/0.69  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.39/0.71  
% 1.39/0.71  **** run 13 fork 4 starts with strategy
% 1.39/0.71  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.39/0.72  
% 1.39/0.72  
% 1.39/0.72  fork 3: search terminated without proof.
% 1.39/0.74  
% 1.39/0.74  
% 1.39/0.74  fork 6: search terminated without proof.
% 1.39/0.74  
% 1.39/0.74  **** run 14 fork 5 starts with strategy
% 1.39/0.74  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.39/0.75  
% 1.39/0.75  **** run 16 fork 7 starts with strategy
% 1.39/0.75  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.39/0.75  
% 1.39/0.75  **** run 20 fork 3 starts with strategy
% 1.39/0.75  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 2.08/0.80  
% 2.08/0.80  
% 2.08/0.80  fork 1: search terminated without proof.
% 2.08/0.80  
% 2.08/0.80  
% 2.08/0.80  fork 2: search terminated without proof.
% 2.08/0.82  
% 2.08/0.82  
% 2.08/0.82  fork 4: search terminated without proof.
% 2.08/0.83  
% 2.08/0.83  **** run 9 fork 0 starts with strategy
% 2.08/0.83  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 2.08/0.85  
% 2.08/0.85  
% 2.08/0.85  fork 5: search terminated without proof.
% 2.08/0.86  
% 2.08/0.86  
% 2.08/0.86  fork 7: search terminated without proof.
% 2.08/0.87  
% 2.08/0.87  **** run 18 fork 1 starts with strategy
% 2.08/0.87  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.08/0.87  
% 2.08/0.87  **** run 19 fork 2 starts with strategy
% 2.08/0.87  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.08/0.88  
% 2.08/0.88  **** run 15 fork 6 starts with strategy
% 2.08/0.88  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 2.08/0.89  
% 2.08/0.89  **** run 21 fork 4 starts with strategy
% 2.08/0.89  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.77/0.90  
% 2.77/0.90  
% 2.77/0.90  fork 3: search terminated without proof.
% 2.77/0.92  
% 2.77/0.92  **** run 22 fork 5 starts with strategy
% 2.77/0.92  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.77/0.93  
% 2.77/0.93  **** run 28 fork 3 starts with strategy
% 2.77/0.93  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 2.77/0.93  
% 2.77/0.93  **** run 24 fork 7 starts with strategy
% 2.77/0.93  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.77/0.97  
% 2.77/0.97  
% 2.77/0.97  fork 1: search terminated without proof.
% 2.77/0.99  
% 2.77/0.99  
% 2.77/0.99  fork 4: search terminated without proof.
% 2.77/1.03  
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% 2.77/1.03  fork 5: search terminated without proof.
% 3.70/1.03  
% 3.70/1.03  
% 3.70/1.03  fork 6: search terminated without proof.
% 3.70/1.04  
% 3.70/1.04  
% 3.70/1.04  fork 3: search terminated without proof.
% 3.70/1.05  
% 3.70/1.05  
% 3.70/1.05  fork 2: search terminated without proof.
% 3.70/1.05  
% 3.70/1.05  **** run 26 fork 1 starts with strategy
% 3.70/1.05  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.70/1.05  
% 3.70/1.05  
% 3.70/1.05  fork 7: search terminated without proof.
% 3.70/1.07  
% 3.70/1.07  **** run 29 fork 4 starts with strategy
% 3.70/1.07  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 3.70/1.07  
% 3.70/1.07  **** run 36 fork 3 starts with strategy
% 3.70/1.07  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.70/1.09  
% 3.70/1.09  fork 3: search finished without proof.
% 3.70/1.10  
% 3.70/1.10  **** run 30 fork 5 starts with strategy
% 3.70/1.10  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 3.70/1.10  
% 3.70/1.10  **** run 23 fork 6 starts with strategy
% 3.70/1.10  {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 3.70/1.11  
% 3.70/1.11  **** run 44 fork 3 starts with strategy
% 3.70/1.11  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 3.70/1.12  
% 3.70/1.12  **** run 32 fork 7 starts with strategy
% 3.70/1.12  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 4.40/1.14  
% 4.40/1.14  **** run 27 fork 2 starts with strategy
% 4.40/1.14  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 4.40/1.15  
% 4.40/1.15  
% 4.40/1.15  fork 1: search terminated without proof.
% 4.40/1.17  
% 4.40/1.17  
% 4.40/1.17  fork 4: search terminated without proof.
% 4.90/1.20  
% 4.90/1.20  fork 5: search finished without proof.
% 4.90/1.20  
% 4.90/1.20  fork 6: search finished without proof.
% 4.90/1.22  
% 4.90/1.22  
% 4.90/1.22  fork 3: search terminated without proof.
% 4.90/1.23  
% 4.90/1.23  **** run 34 fork 1 starts with strategy
% 4.90/1.23  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 4.90/1.23  
% 4.90/1.23  
% 4.90/1.23  fork 7: search terminated without proof.
% 4.90/1.24  
% 4.90/1.24  
% 4.90/1.24  fork 2: search terminated without proof.
% 4.90/1.24  
% 4.90/1.24  **** run 37 fork 4 starts with strategy
% 4.90/1.24  {"sine":1,"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":1}
% 4.90/1.25  
% 4.90/1.25  **** run 38 fork 5 starts with strategy
% 4.90/1.25  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":1}
% 4.90/1.25  
% 4.90/1.25  **** run 52 fork 3 starts with strategy
% 4.90/1.25  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 4.90/1.25  
% 4.90/1.25  **** run 31 fork 6 starts with strategy
% 4.90/1.25  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 4.90/1.27  
% 4.90/1.27  fork 3: search finished without proof.
% 4.90/1.27  
% 4.90/1.27  fork 4: search finished without proof.
% 4.90/1.29  
% 4.90/1.29  **** run 60 fork 3 starts with strategy
% 4.90/1.29  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 4.90/1.30  
% 4.90/1.30  
% 4.90/1.30  result: proof found
% 4.90/1.30  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.90/1.30  by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 4.90/1.30  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.90/1.30  
% 4.90/1.30  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.90/1.30  fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 4.90/1.30  fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('hilbert_op_or', axiom, op_or,
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 4.90/1.30  fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('hilbert_op_implies_and', axiom, op_implies_and,
% 4.90/1.30    input). 
% 4.90/1.30  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))))))),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_kn3'])).
% 4.90/1.30  fof('$inc_kn3', axiom, (kn3 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_rosser_kn3', axiom, kn3,
% 4.90/1.30    input). 
% 4.90/1.30  fof('$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($sk54))))),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 4.90/1.30  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_rosser_modus_ponens', axiom, modus_ponens,
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_kn1_$sk', plain, ((~kn1 | is_a_theorem(implies(X1,and(X1,X1)))) & (kn1 | ~is_a_theorem(implies($sk23,and($sk23,$sk23))))),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_kn1'])).
% 4.90/1.30  fof('$inc_kn1', axiom, (kn1 <=> (! [P] : is_a_theorem(implies(P,and(P,P))))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_rosser_kn1', axiom, kn1,
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_kn2_$sk', plain, ((~kn2 | is_a_theorem(implies(and(X2,X1),X2))) & (kn2 | ~is_a_theorem(implies(and($sk22,$sk21),$sk22)))),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_kn2'])).
% 4.90/1.30  fof('$inc_kn2', axiom, (kn2 <=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_rosser_kn2', axiom, kn2,
% 4.90/1.30    input). 
% 4.90/1.30  fof('$inc_or_1_$sk', plain, ((~or_1 | is_a_theorem(implies(X2,or(X2,X1)))) & (or_1 | ~is_a_theorem(implies($sk36,or($sk36,$sk35))))),
% 4.90/1.30    inference(negpush_and_skolemize,[],['$inc_or_1'])).
% 4.90/1.30  fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))),
% 4.90/1.30    input). 
% 4.90/1.30  fof('hilbert_or_1_$sk', plain, ~or_1,
% 4.90/1.30    inference(negpush_and_skolemize,[],['hilbert_or_1'])).
% 4.90/1.30  fof('hilbert_or_1', conjecture, or_1,
% 4.90/1.30    input). 
% 4.90/1.30  cnf('1', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 4.90/1.30  cnf('2', plain, ($pr(op_or)),
% 4.90/1.30    inference(cnf_transformation,[],['hilbert_op_or'])).
% 4.90/1.30  cnf('3', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 4.90/1.30  cnf('4', plain, ($pr(op_implies_and)),
% 4.90/1.30    inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 4.90/1.30  cnf('5', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 4.90/1.30    inference(simplify,[],['3','4'])).
% 4.90/1.30  cnf('6', plain, (or(X,Y) = implies(not(X),Y)),
% 4.90/1.30    inference(simplify,[then_simplify],['1','2','5'])).
% 4.90/1.30  cnf('7', plain, (~$pr(kn3) | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_kn3_$sk'])).
% 4.90/1.30  cnf('8', plain, ($pr(kn3)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_rosser_kn3'])).
% 4.90/1.30  cnf('9', plain, (is_a_theorem(implies(implies(X,Y),or(and(Y,Z),not(and(Z,X)))))),
% 4.90/1.30    inference(simplify,[then_simplify],['7','8','6'])).
% 4.90/1.30  cnf('10', plain, (is_a_theorem(implies(or(X3,Y3),or(and(Y3,Z3),not(and(Z3,not(X3))))))),
% 4.90/1.30    inference(paramodulation,[],['6','9'])).
% 4.90/1.30  cnf('11', plain, (is_a_theorem(implies(or(X,Y),or(and(Y,Z),implies(Z,X))))),
% 4.90/1.30    inference(simplify,[],['10','5'])).
% 4.90/1.30  cnf('12', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 4.90/1.30  cnf('13', plain, ($pr(modus_ponens)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_rosser_modus_ponens'])).
% 4.90/1.30  cnf('14', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 4.90/1.30    inference(simplify,[],['12','13'])).
% 4.90/1.30  cnf('15', plain, (is_a_theorem(or(and(X,Y),implies(Y,Z))) | ~is_a_theorem(or(Z,X))),
% 4.90/1.30    inference(resolution,[],['11','14'])).
% 4.90/1.30  cnf('16', plain, (is_a_theorem(or(and(X,Y),not(and(Y,Z)))) | ~is_a_theorem(implies(Z,X))),
% 4.90/1.30    inference(resolution,[],['9','14'])).
% 4.90/1.30  cnf('17', plain, (~$pr(kn1) | is_a_theorem(implies(X0,and(X0,X0)))),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_kn1_$sk'])).
% 4.90/1.30  cnf('18', plain, ($pr(kn1)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_rosser_kn1'])).
% 4.90/1.30  cnf('19', plain, (is_a_theorem(implies(X,and(X,X)))),
% 4.90/1.30    inference(simplify,[],['17','18'])).
% 4.90/1.30  cnf('20', plain, (is_a_theorem(or(and(and(X,X),Y),not(and(Y,X))))),
% 4.90/1.30    inference(resolution,[],['16','19'])).
% 4.90/1.30  cnf('21', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(X)) | is_a_theorem(Y)),
% 4.90/1.30    inference(paramodulation,[],['6','14'])).
% 4.90/1.30  cnf('22', plain, (~is_a_theorem(not(and(and(X,X),Y))) | is_a_theorem(not(and(Y,X)))),
% 4.90/1.30    inference(resolution,[],['20','21'])).
% 4.90/1.30  cnf('23', plain, (is_a_theorem(not(and(not(X),Y))) | ~is_a_theorem(implies(and(Y,Y),X))),
% 4.90/1.30    inference(paramodulation,[],['5','22'])).
% 4.90/1.30  cnf('24', plain, (~$pr(kn2) | is_a_theorem(implies(and(X0,X1),X0))),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_kn2_$sk'])).
% 4.90/1.30  cnf('25', plain, ($pr(kn2)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_rosser_kn2'])).
% 4.90/1.30  cnf('26', plain, (is_a_theorem(implies(and(X,Y),X))),
% 4.90/1.30    inference(simplify,[],['24','25'])).
% 4.90/1.30  cnf('27', plain, (is_a_theorem(not(and(not(X),X)))),
% 4.90/1.30    inference(resolution,[],['23','26'])).
% 4.90/1.30  cnf('28', plain, (is_a_theorem(implies(not(not(X3)),X3))),
% 4.90/1.30    inference(paramodulation,[],['5','27'])).
% 4.90/1.30  cnf('29', plain, (is_a_theorem(or(not(X),X))),
% 4.90/1.30    inference(simplify,[],['28','6'])).
% 4.90/1.30  cnf('30', plain, (is_a_theorem(or(and(X,Y),implies(Y,not(X))))),
% 4.90/1.30    inference(resolution,[],['15','29'])).
% 4.90/1.30  cnf('31', plain, (is_a_theorem(or(and(X3,not(Y3)),or(Y3,not(X3))))),
% 4.90/1.30    inference(paramodulation,[],['6','30'])).
% 4.90/1.30  cnf('32', plain, (or(and(X,not(Y)),Z) = implies(implies(X,Y),Z)),
% 4.90/1.30    inference(paramodulation,[],['5','6'])).
% 4.90/1.30  cnf('33', plain, (is_a_theorem(implies(implies(X,Y),or(Y,not(X))))),
% 4.90/1.30    inference(simplify,[],['31','32'])).
% 4.90/1.30  cnf('34', plain, (is_a_theorem(or(X,not(Y))) | ~is_a_theorem(implies(Y,X))),
% 4.90/1.30    inference(resolution,[],['33','14'])).
% 4.90/1.30  cnf('35', plain, (is_a_theorem(or(X,not(and(X,Y))))),
% 4.90/1.30    inference(resolution,[],['34','26'])).
% 4.90/1.30  cnf('36', plain, (is_a_theorem(or(X,implies(X,Y)))),
% 4.90/1.30    inference(paramodulation,[],['5','35'])).
% 4.90/1.30  cnf('37', plain, (is_a_theorem(or(and(implies(X,Y),Z),implies(Z,X)))),
% 4.90/1.30    inference(resolution,[],['36','15'])).
% 4.90/1.30  cnf('38', plain, (is_a_theorem(or(and(implies(X3,Y3),not(Z3)),or(Z3,X3)))),
% 4.90/1.30    inference(paramodulation,[],['6','37'])).
% 4.90/1.30  cnf('39', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),or(Z,X)))),
% 4.90/1.30    inference(simplify,[],['38','32'])).
% 4.90/1.30  cnf('40', plain, (~is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(or(Z,X))),
% 4.90/1.30    inference(resolution,[],['39','14'])).
% 4.90/1.30  cnf('41', plain, (is_a_theorem(or(or(X,Y),implies(Y,Z)))),
% 4.90/1.30    inference(resolution,[],['40','39'])).
% 4.90/1.30  cnf('42', plain, (is_a_theorem(or(or(X,not(Y)),or(Y,Z)))),
% 4.90/1.30    inference(paramodulation,[],['6','41'])).
% 4.90/1.30  cnf('43', plain, (is_a_theorem(or(and(X,X),not(X)))),
% 4.90/1.30    inference(resolution,[],['34','19'])).
% 4.90/1.30  cnf('44', plain, (~is_a_theorem(not(and(X,X))) | is_a_theorem(not(X))),
% 4.90/1.30    inference(resolution,[],['43','21'])).
% 4.90/1.30  cnf('45', plain, (~is_a_theorem(implies(not(X3),X3)) | is_a_theorem(not(not(X3)))),
% 4.90/1.30    inference(paramodulation,[],['5','44'])).
% 4.90/1.30  cnf('46', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(
% 4.90/1.30  fork 6: search finished without proof.
% 4.90/1.30  not(not(X)))),
% 4.90/1.30    inference(simplify,[],['45','6'])).
% 4.90/1.30  cnf('47', plain, (is_a_theorem(not(not(or(X,not(X)))))),
% 4.90/1.30    inference(resolution,[],['42','46'])).
% 4.90/1.30  cnf('48', plain, (~is_a_theorem(not(not(X))) | is_a_theorem(X)),
% 4.90/1.30    inference(resolution,[],['29','21'])).
% 4.90/1.30  cnf('49', plain, (is_a_theorem(or(X,not(X)))),
% 4.90/1.30    inference(resolution,[],['47','48'])).
% 4.90/1.30  cnf('50', plain, (is_a_theorem(or(and(not(X),Y),implies(Y,X)))),
% 4.90/1.30    inference(resolution,[],['49','15'])).
% 4.90/1.30  cnf('51', plain, (~is_a_theorem(not(and(not(X),Y))) | is_a_theorem(implies(Y,X))),
% 4.90/1.30    inference(resolution,[],['50','21'])).
% 4.90/1.30  cnf('52', plain, (~is_a_theorem(not(and(X,Y))) | is_a_theorem(implies(Y,not(X)))),
% 4.90/1.30    inference(resolution,[],['30','21'])).
% 4.90/1.30  cnf('53', plain, (is_a_theorem(or(and(X,Y),not(and(Y,and(X,Z)))))),
% 4.90/1.30    inference(resolution,[],['16','26'])).
% 4.90/1.30  cnf('54', plain, (is_a_theorem(not(and(X,and(Y,Z)))) | ~is_a_theorem(not(and(Y,X)))),
% 4.90/1.30    inference(resolution,[],['53','21'])).
% 4.90/1.30  cnf('55', plain, (is_a_theorem(not(and(not(X),and(Y,Z)))) | ~is_a_theorem(implies(Y,X))),
% 4.90/1.30    inference(paramodulation,[],['5','54'])).
% 4.90/1.30  cnf('56', plain, (is_a_theorem(not(and(not(X),and(and(X,Y),Z))))),
% 4.90/1.30    inference(resolution,[],['55','26'])).
% 4.90/1.30  cnf('57', plain, (is_a_theorem(not(and(and(and(X,Y),Z),and(not(X),U))))),
% 4.90/1.30    inference(resolution,[],['56','54'])).
% 4.90/1.30  cnf('58', plain, (is_a_theorem(not(and(and(not(X),Y),and(X,Z))))),
% 4.90/1.30    inference(resolution,[],['22','57'])).
% 4.90/1.30  cnf('59', plain, (is_a_theorem(implies(and(X,Y),not(and(not(X),Z))))),
% 4.90/1.30    inference(resolution,[],['52','58'])).
% 4.90/1.30  cnf('60', plain, (is_a_theorem(implies(and(X3,Y3),implies(not(X3),Z3)))),
% 4.90/1.30    inference(paramodulation,[],['5','59'])).
% 4.90/1.30  cnf('61', plain, (is_a_theorem(implies(and(X,Y),or(X,Z)))),
% 4.90/1.30    inference(simplify,[],['60','6'])).
% 4.90/1.30  cnf('62', plain, (is_a_theorem(not(and(not(or(X,Y)),X)))),
% 4.90/1.30    inference(resolution,[],['61','23'])).
% 4.90/1.30  cnf('63', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 4.90/1.30    inference(resolution,[],['51','62'])).
% 4.90/1.30  cnf('64', plain, (~is_a_theorem(implies($sk36,or($sk36,$sk35))) | $pr(or_1)),
% 4.90/1.30    inference(cnf_transformation,[],['$inc_or_1_$sk'])).
% 4.90/1.30  cnf('65', plain, (~$pr(or_1)),
% 4.90/1.30    inference(cnf_transformation,[],['hilbert_or_1_$sk'])).
% 4.90/1.30  cnf('66', plain, (~is_a_theorem(implies($sk36,or($sk36,$sk35)))),
% 4.90/1.30    inference(simplify,[],['64','65'])).
% 4.90/1.30  cnf('67', plain, ($false),
% 4.90/1.30    inference(resolution,[],['63','66'])).
% 4.90/1.30  
% 4.90/1.30  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.90/1.30  
% 4.90/1.30  run 9 fork 0 statistics:
% 4.90/1.30  ----------------------------------
% 4.90/1.30  this run seconds: 0.079874
% 4.90/1.30  total seconds: 0.262385
% 4.90/1.30  stat_given_used: 543
% 4.90/1.30  stat_given_used_at_endgame: 0
% 4.90/1.30  stat_given_candidates:   789
% 4.90/1.30  stat_given_candidates_at_endgame: 0
% 4.90/1.30  stat_given_candidates_h: 0
% 4.90/1.30  stat_binres_derived_cl:   5132
% 4.90/1.30  stat_binres_derived_cl_h: 0
% 4.90/1.30  stat_factor_derived_cl: 0
% 4.90/1.30  stat_para_derived_cl: 180
% 4.90/1.30  stat_tautologies_discarded: 4
% 4.90/1.30  stat_forward_subsumed: 466
% 4.90/1.30  stat_derived_cut: 17
% 4.90/1.30  stat_derived_rewritten: 46
% 4.90/1.30  stat_weight_discarded_building: 0
% 4.90/1.30  stat_weight_discarded_cl: 1111
% 4.90/1.30  stat_internlimit_discarded_cl: 0
% 4.90/1.30  stat_simplified:  60 simplified 0 derived 0 given
% 4.90/1.30  stat_kept_cl: 3718
% 4.90/1.30  stat_built_cl: 5975
% 4.90/1.30  stat_hyperres_partial_cl: 0
% 4.90/1.30  stat_made_rewriters: 6
% 4.90/1.30  stat_backward_subsumed: 0
% 4.90/1.30  stat_propagated_subsumed: 0
% 4.90/1.30  stat_clsubs_attempted:                      5710
% 4.90/1.30  stat_clsubs_fact_groundunit_found:             2
% 4.90/1.30  stat_clsubs_rule_groundunit_found:            16
% 4.90/1.30  stat_clsubs_top_meta_attempted:             161239
% 4.90/1.30  stat_clsubs_top_meta_failed:                155529
% 4.90/1.30  stat_clsubs_top_meta_nonpref_attempted:              161239
% 4.90/1.30  stat_clsubs_top_meta_nonpref_succeeded:               38125
% 4.90/1.30  stat_clsubs_top_meta_pref_attempted:                  38125
% 4.90/1.30  stat_clsubs_top_meta_pref1_succeeded:                 35243
% 4.90/1.30  stat_clsubs_top_meta_pref2_succeeded:                 10670
% 4.90/1.30  stat_clsubs_top_meta_pref3_succeeded:                  5710
% 4.90/1.30  stat_clsubs_top_meta_pref_succeeded:                   5710
% 4.90/1.30  stat_clsubs_meta_attempted:                 6268
% 4.90/1.30  stat_clsubs_meta_failed:                    1465
% 4.90/1.30  stat_clsubs_predsymbs_attempted:               0
% 4.90/1.30  stat_clsubs_unit_attempted:                 5159
% 4.90/1.30  stat_clsubs_full_attempted:                  551
% 4.90/1.30  stat_forwardsubs_attempted:                 5295
% 4.90/1.30  stat_lit_hash_added:                   4111
% 4.90/1.30  stat_lit_hash_computed:               11862
% 4.90/1.30  stat_lit_hash_match_found:              561
% 4.90/1.30  stat_lit_hash_match_miss:             12591
% 4.90/1.30  stat_lit_hash_cut_ok:                    20
% 4.90/1.30  stat_lit_strong_cut_ok:                   0
% 4.90/1.30  stat_lit_hash_subsume_ok:               466
% 4.90/1.30  clqueue els 10000000 used 1
% 4.90/1.30  clactive els 10000000 used 544
% 4.90/1.30  clactivesubsume els 10000000 used 3181
% 4.90/1.30  queue_termbuf els 200000000 used 291381
% 4.90/1.30  hyper_termbuf els 100000000 used 1
% 4.90/1.30  active_termbuf els 100000000 used 23741
% 4.90/1.30  varstack els 5000 last used 1
% 4.90/1.30  given_termbuf els 10000000 last used 1
% 4.90/1.30  simplified_termbuf els 10000000 last used 1
% 4.90/1.30  derived_termbuf els 10000000 last used 9
% 4.90/1.30  wr_mallocs: 17007
% 4.90/1.30  wr_callocs: 21
% 4.90/1.30  wr_reallocs: 477
% 4.90/1.30  wr_frees: 2
% 4.90/1.30  wr_malloc_bytes: 4163186388
% 4.90/1.30  wr_calloc_bytes: 112065536
% 4.90/1.30  wr_realloc_bytes: 110352
% 4.90/1.30  wr_realloc_freebytes: 0
% 4.90/1.30  ----------------------------------
% 4.90/1.30  
% 4.90/1.30  **** run 40 fork 7 starts with strategy
% 4.90/1.30  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"equality":0}
%------------------------------------------------------------------------------