TSTP Solution File: LCL539+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL539+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:39:41 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL539+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 03:33:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                   147
% 0.20/0.39  in_rule_clause_count:              147
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:             89
% 0.20/0.39  in_unit_clause_count:               31
% 0.20/0.39  in_horn_clause_count:              138
% 0.20/0.39  in_pos_clause_count:                39
% 0.20/0.39  in_neg_clause_count:                 1
% 0.20/0.39  in_poseq_clause_count:              11
% 0.20/0.39  in_negeq_clause_count:               2
% 0.20/0.39  in_unitposeq_clause_count:           0
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             4
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              5
% 0.20/0.39  in_min_size:               2
% 0.20/0.39  in_max_size:              17
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               3
% 0.20/0.39  in_extaxiom_count:               140
% 0.20/0.39  in_axiom_count:                    6
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"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},
% 0.20/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.20/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"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},
% 0.20/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"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},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
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% 0.20/0.39  {"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},
% 0.20/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.20/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"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},
% 0.20/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"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},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.39  
% 0.20/0.39  **** run 8 fork 7 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.42  
% 0.20/0.42  fork 2: search finished without proof.
% 0.20/0.42  
% 0.20/0.42  fork 3: search finished without proof.
% 0.20/0.43  
% 0.20/0.43  fork 1: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  **** run 11 fork 2 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.46  
% 0.20/0.46  **** run 12 fork 3 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.47  
% 0.20/0.47  **** run 10 fork 1 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 6: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 0: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 7: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 4: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 5: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 16 fork 7 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.55  
% 0.20/0.55  **** run 13 fork 4 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.55  
% 0.20/0.55  **** run 9 fork 0 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  **** run 14 fork 5 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 15 fork 6 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  result: proof found
% 0.20/0.57  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.57  by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.57  
% 0.20/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.57  fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 0.20/0.57  fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 0.20/0.57  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk77,implies($sk76,and($sk77,$sk76)))))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 0.20/0.57  fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_hilbert_and_3', axiom, and_3,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_op_strict_equiv_$sk', plain, ((strict_equiv(X2,X1) = and(strict_implies(X2,X1),strict_implies(X1,X2))) | ~op_strict_equiv),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_op_strict_equiv'])).
% 0.20/0.57  fof('$inc_op_strict_equiv', axiom, (op_strict_equiv => (! [X,Y] : (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('s1_0_op_strict_equiv', axiom, op_strict_equiv,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk79,$sk78),$sk78)))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 0.20/0.57  fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_hilbert_and_2', axiom, and_2,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_substitution_strict_equiv_$sk', plain, ((~substitution_strict_equiv | ((X2 = X1) | ~is_a_theorem(strict_equiv(X2,X1)))) & (substitution_strict_equiv | (~($sk34 = $sk33) & is_a_theorem(strict_equiv($sk34,$sk33))))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_substitution_strict_equiv'])).
% 0.20/0.57  fof('$inc_substitution_strict_equiv', axiom, (substitution_strict_equiv <=> (! [X,Y] : (is_a_theorem(strict_equiv(X,Y)) => (X = Y)))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('s1_0_substitution_strict_equiv_$sk', plain, ~substitution_strict_equiv,
% 0.20/0.57    inference(negpush_and_skolemize,[],['s1_0_substitution_strict_equiv'])).
% 0.20/0.57  fof('s1_0_substitution_strict_equiv', conjecture, substitution_strict_equiv,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 0.20/0.57  fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 0.20/0.57  fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_km4b_axiom_M', axiom, axiom_M,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_and_1_$sk', plain, ((~and_1 | is_a_theorem(implies(and(X2,X1),X2))) & (and_1 | ~is_a_theorem(implies(and($sk81,$sk80),$sk81)))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 0.20/0.57  fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_hilbert_and_1', axiom, and_1,
% 0.20/0.57    input). 
% 0.20/0.57  fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk92 = $sk91) & is_a_theorem(equiv($sk92,$sk91))))),
% 0.20/0.57    inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 0.20/0.57  fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 0.20/0.57    input). 
% 0.20/0.57  cnf('1', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 0.20/0.57  cnf('2', plain, ($pr(op_equiv)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 0.20/0.57  cnf('3', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 0.20/0.57    inference(simplify,[],['1','2'])).
% 0.20/0.57  cnf('4', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 0.20/0.57  cnf('5', plain, ($pr(modus_ponens)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 0.20/0.57  cnf('6', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.20/0.57    inference(simplify,[],['4','5'])).
% 0.20/0.57  cnf('7', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 0.20/0.57  cnf('8', plain, ($pr(and_3)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 0.20/0.57  cnf('9', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 0.20/0.57    inference(simplify,[],['7','8'])).
% 0.20/0.57  cnf('10', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 0.20/0.57    inference(resolution,[],['6','9'])).
% 0.20/0.57  cnf('11', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 0.20/0.57    inference(resolution,[],['10','6'])).
% 0.20/0.57  cnf('12', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 0.20/0.57    inference(paramodulation,[],['3','11'])).
% 0.20/0.57  cnf('13', plain, (~$pr(op_strict_equiv) | strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_op_strict_equiv_$sk'])).
% 0.20/0.57  cnf('14', plain, ($pr(op_strict_equiv)),
% 0.20/0.57    inference(cnf_transformation,[],['s1_0_op_strict_equiv'])).
% 0.20/0.57  cnf('15', plain, (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))),
% 0.20/0.57    inference(simplify,[],['13','14'])).
% 0.20/0.57  cnf('16', plain, (~$pr(and_2) | is_a_theorem(implies(and(X0,X1),X1))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 0.20/0.57  cnf('17', plain, ($pr(and_2)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_hilbert_and_2'])).
% 0.20/0.57  cnf('18', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 0.20/0.57    inference(simplify,[],['16','17'])).
% 0.20/0.57  cnf('19', plain, (is_a_theorem(implies(strict_equiv(X,Y),strict_implies(Y,X)))),
% 0.20/0.57    inference(paramodulation,[],['15','18'])).
% 0.20/0.57  cnf('20', plain, (~is_a_theorem(strict_equiv(X,Y)) | is_a_theorem(strict_implies(Y,X))),
% 0.20/0.57    inference(resolution,[],['6','19'])).
% 0.20/0.57  cnf('21', plain, (is_a_theorem(strict_equiv($sk34,$sk33)) | $pr(substitution_strict_equiv)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_substitution_strict_equiv_$sk'])).
% 0.20/0.57  cnf('22', plain, (~$pr(substitution_strict_equiv)),
% 0.20/0.57    inference(cnf_transformation,[],['s1_0_substitution_strict_equiv_$sk'])).
% 0.20/0.57  cnf('23', plain, (is_a_theorem(strict_equiv($sk34,$sk33))),
% 0.20/0.57    inference(simplify,[],['21','22'])).
% 0.20/0.57  cnf('24', plain, (is_a_theorem(strict_implies($sk33,$sk34))),
% 0.20/0.57    inference(resolution,[],['20','23'])).
% 0.20/0.57  cnf('25', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 0.20/0.57  cnf('26', plain, ($pr(op_strict_implies)),
% 0.20/0.57    inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 0.20/0.57  cnf('27', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 0.20/0.57    inference(simplify,[],['25','26'])).
% 0.20/0.57  cnf('28', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 0.20/0.57  cnf('29', plain, ($pr(axiom_M)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_km4b_axiom_M'])).
% 0.20/0.57  cnf('30', plain, (is_a_theorem(implies(necessarily(X),X))),
% 0.20/0.57    inference(simplify,[],['28','29'])).
% 0.20/0.57  cnf('31', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(X,Y)))),
% 0.20/0.57    inference(paramodulation,[],['27','30'])).
% 0.20/0.57  cnf('32', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 0.20/0.57    inference(resolution,[],['6','31'])).
% 0.20/0.57  cnf('33', plain, (is_a_theorem(implies($sk33,$sk34))),
% 0.20/0.57    inference(resolution,[],['24','32'])).
% 0.20/0.57  cnf('34', plain, (~$pr(and_1) | is_a_theorem(implies(and(X0,X1),X0))),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 0.20/0.57  cnf('35', plain, ($pr(and_1)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_hilbert_and_1'])).
% 0.20/0.57  cnf('36', plain, (is_a_theorem(implies(and(X,Y),X))),
% 0.20/0.57    inference(simplify,[],['34','35'])).
% 0.20/0.57  cnf('37', plain, (is_a_theorem(implies(strict_equiv(X,Y),strict_implies(X,Y)))),
% 0.20/0.57    inference(paramodulation,[],['15','36'])).
% 0.20/0.57  cnf('38', plain, (~is_a_theorem(strict_equiv(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 0.20/0.57    inference(resolution,[],['6','37'])).
% 0.20/0.57  cnf('39', plain, (is_a_theorem(strict_implies($sk34,$sk33))),
% 0.20/0.57    inference(resolution,[],['38','23'])).
% 0.20/0.57  cnf('40', plain, (is_a_theorem(implies($sk34,$sk33))),
% 0.20/0.57    inference(resolution,[],['39','32'])).
% 0.20/0.57  cnf('41', plain, (is_a_theorem(equiv($sk34,$sk33))),
% 0.20/0.57    inference(resolution,[then_simplify],['12','33','40'])).
% 0.20/0.57  cnf('42', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 0.20/0.57  cnf('43', plain, ($pr(substitution_of_equivalents)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 0.20/0.57  cnf('44', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 0.20/0.57    inference(simplify,[],['42','43'])).
% 0.20/0.57  cnf('45', plain, ($sk34 = $sk33),
% 0.20/0.57    inference(resolution,[],['41','44'])).
% 0.20/0.57  cnf('46', plain, ($sk34 != $sk33 | $pr(substitution_strict_equiv)),
% 0.20/0.57    inference(cnf_transformation,[],['$inc_substitution_strict_equiv_$sk'])).
% 0.20/0.57  cnf('47', plain, ($sk34 != $sk33),
% 0.20/0.57    inference(simplify,[],['46','22'])).
% 0.20/0.57  cnf('48', plain, ($false),
% 0.20/0.57    inference(resolution,[],['45','47'])).
% 0.20/0.57  
% 0.20/0.57  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.57  
% 0.20/0.57  run 10 fork 1 statistics:
% 0.20/0.57  ----------------------------------
% 0.20/0.57  this run seconds: 0.018584
% 0.20/0.57  total seconds: 0.122358
% 0.20/0.57  stat_given_used: 234
% 0.20/0.57  stat_given_used_at_endgame: 0
% 0.20/0.57  stat_given_candidates:   435
% 0.20/0.57  stat_given_candidates_at_endgame: 0
% 0.20/0.57  stat_given_candidates_h: 0
% 0.20/0.57  stat_binres_derived_cl:   316
% 0.20/0.57  stat_binres_derived_cl_h: 0
% 0.20/0.57  stat_factor_derived_cl: 4
% 0.20/0.57  stat_para_derived_cl: 122
% 0.20/0.57  stat_tautologies_discarded: 29
% 0.20/0.57  stat_forward_subsumed: 24
% 0.20/0.57  stat_derived_cut: 62
% 0.20/0.57  stat_derived_rewritten: 1
% 0.20/0.57  stat_weight_discarded_building: 0
% 0.20/0.57  stat_weight_discarded_cl: 0
% 0.20/0.57  stat_internlimit_discarded_cl: 0
% 0.20/0.57  stat_simplified:  40 simplified 0 derived 0 given
% 0.20/0.57  stat_kept_cl: 370
% 0.20/0.57  stat_built_cl: 878
% 0.20/0.57  stat_hyperres_partial_cl: 0
% 0.20/0.57  stat_made_rewriters: 6
% 0.20/0.57  stat_backward_subsumed: 0
% 0.20/0.57  stat_propagated_subsumed: 0
% 0.20/0.57  stat_clsubs_attempted:                       959
% 0.20/0.57  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.57  stat_clsubs_rule_groundunit_found:            36
% 0.20/0.57  stat_clsubs_top_meta_attempted:              30245
% 0.20/0.57  stat_clsubs_top_meta_failed:                 29286
% 0.20/0.57  stat_clsubs_top_meta_nonpref_attempted:               30245
% 0.20/0.57  stat_clsubs_top_meta_nonpref_succeeded:                9563
% 0.20/0.57  stat_clsubs_top_meta_pref_attempted:                   9563
% 0.20/0.57  stat_clsubs_top_meta_pref1_succeeded:                  6721
% 0.20/0.57  stat_clsubs_top_meta_pref2_succeeded:                  1724
% 0.20/0.57  stat_clsubs_top_meta_pref3_succeeded:                   959
% 0.20/0.57  stat_clsubs_top_meta_pref_succeeded:                    959
% 0.20/0.57  stat_clsubs_meta_attempted:                 1455
% 0.20/0.57  stat_clsubs_meta_failed:                     461
% 0.20/0.57  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.57  stat_clsubs_unit_attempted:                  558
% 0.20/0.57  stat_clsubs_full_attempted:                  401
% 0.20/0.57  stat_forwardsubs_attempted:                  394
% 0.20/0.57  stat_lit_hash_added:                    742
% 0.20/0.57  stat_lit_hash_computed:                4056
% 0.20/0.57  stat_lit_hash_match_found:              141
% 0.20/0.57  stat_lit_hash_match_miss:              4205
% 0.20/0.57  stat_lit_hash_cut_ok:                    52
% 0.20/0.57  stat_lit_strong_cut_ok:                  12
% 0.20/0.57  stat_lit_hash_subsume_ok:                24
% 0.20/0.57  clqueue els 10000000 used 1
% 0.20/0.57  clactive els 10000000 used 235
% 0.20/0.57  clactivesubsume els 10000000 used 1165
% 0.20/0.57  queue_termbuf els 200000000 used 22163
% 0.20/0.57  hyper_termbuf els 100000000 used 1
% 0.20/0.57  active_termbuf els 100000000 used 7271
% 0.20/0.57  varstack els 5000 last used 1
% 0.20/0.57  given_termbuf els 10000000 last used 8
% 0.20/0.57  simplified_termbuf els 10000000 last used 1
% 0.20/0.57  derived_termbuf els 10000000 last used 5
% 0.20/0.57  wr_mallocs: 2169
% 0.20/0.57  wr_callocs: 21
% 0.20/0.57  wr_reallocs: 156
% 0.20/0.57  wr_frees: 4
% 0.20/0.57  wr_malloc_bytes: 4162673076
% 0.20/0.57  wr_calloc_bytes: 112065536
% 0.20/0.57  wr_realloc_bytes: 22200
% 0.20/0.57  wr_realloc_freebytes: 0
% 0.20/0.57  ----------------------------------
%------------------------------------------------------------------------------