TSTP Solution File: ALG022+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n010.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 : Wed Aug 30 16:27:28 EDT 2023

% Result   : Theorem 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12  % Command  : gkc %s
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Aug 28 03:22:04 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.16/0.40  
% 0.16/0.40  input clause set summed statistics:
% 0.16/0.40  ----------------------------------
% 0.16/0.40  in_clause_count:                  1578
% 0.16/0.40  in_rule_clause_count:             1577
% 0.16/0.40  in_fact_clause_count:                1
% 0.16/0.40  in_answer_clause_count:              0
% 0.16/0.40  in_ground_clause_count:           1578
% 0.16/0.40  in_unit_clause_count:               27
% 0.16/0.40  in_horn_clause_count:              901
% 0.16/0.40  in_pos_clause_count:               145
% 0.16/0.40  in_neg_clause_count:               495
% 0.16/0.40  in_poseq_clause_count:             520
% 0.16/0.40  in_negeq_clause_count:             255
% 0.16/0.40  in_unitposeq_clause_count:          21
% 0.16/0.40  in_chain_clause_count:               0
% 0.16/0.40  in_min_length:             1
% 0.16/0.40  in_max_length:            76
% 0.16/0.40  in_min_depth:              1
% 0.16/0.40  in_max_depth:              3
% 0.16/0.40  in_min_size:               3
% 0.16/0.40  in_max_size:             755
% 0.16/0.40  in_min_vars:               0
% 0.16/0.40  in_max_vars:               0
% 0.16/0.40  in_extaxiom_count:                 0
% 0.16/0.40  in_axiom_count:                   27
% 0.16/0.40  in_assumption_count:               0
% 0.16/0.40  in_goal_count:                  1551
% 0.16/0.40  in_neg_goal_count:               489
% 0.16/0.40  in_pos_goal_count:               124
% 0.16/0.40  in_posunit_goal_count:             0
% 0.16/0.40  
% 0.16/0.40  auto guide:
% 0.16/0.40  -----------
% 0.16/0.40  {
% 0.16/0.40  "print":1,
% 0.16/0.40  "print_level": 15,
% 0.16/0.40  "max_size": 0,
% 0.16/0.40  "max_depth": 0,
% 0.16/0.40  "max_length": 0,
% 0.16/0.40  "max_dseconds": 0,
% 0.16/0.40  "runs":[
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.16/0.40  {"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},
% 0.16/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.16/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.16/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.16/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.16/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.16/0.40  
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.16/0.40  {"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":10},
% 0.16/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.16/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.16/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.16/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":10},
% 0.16/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.16/0.40  
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.16/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.16/0.40  {"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},
% 0.16/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.16/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.16/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.16/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.16/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.16/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.16/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.16/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.16/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.16/0.40  
% 0.16/0.40  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.16/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.16/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.16/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.16/0.40  
% 0.16/0.40  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.16/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.16/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.16/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.16/0.40  
% 0.16/0.40  ]}
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  **** run 1 fork 0 starts with strategy
% 0.16/0.40  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.16/0.41  
% 0.16/0.41  **** run 2 fork 1 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.16/0.41  
% 0.16/0.41  **** run 3 fork 2 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.16/0.41  
% 0.16/0.41  **** run 4 fork 3 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.16/0.41  
% 0.16/0.41  **** run 5 fork 4 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.16/0.41  
% 0.16/0.41  **** run 6 fork 5 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.16/0.41  
% 0.16/0.41  **** run 7 fork 6 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.16/0.41  
% 0.16/0.41  **** run 8 fork 7 starts with strategy
% 0.16/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.16/0.45  
% 0.16/0.45  fork 0: search finished without proof.
% 0.16/0.47  
% 0.16/0.47  **** run 9 fork 0 starts with strategy
% 0.16/0.47  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.16/0.53  
% 0.16/0.53  fork 3: search finished without proof.
% 0.16/0.53  
% 0.16/0.53  fork 6: search finished without proof.
% 0.16/0.54  
% 0.16/0.54  fork 1: search finished without proof.
% 0.16/0.54  
% 0.16/0.54  
% 0.16/0.54  result: proof found
% 0.16/0.54  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.16/0.54  by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.16/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.16/0.54  
% 0.16/0.54  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.16/0.54  fof('co1_$sk', plain, ((~(inv(e3) = e3) & (~(inv(e3) = e2) & (~(inv(e3) = e1) & ~(inv(e3) = e0)))) | ((~(inv(e2) = e3) & (~(inv(e2) = e2) & (~(inv(e2) = e1) & ~(inv(e2) = e0)))) | ((~(inv(e1) = e3) & (~(inv(e1) = e2) & (~(inv(e1) = e1) & ~(inv(e1) = e0)))) | ((~(inv(e0) = e3) & (~(inv(e0) = e2) & (~(inv(e0) = e1) & ~(inv(e0) = e0)))) | (~(op(inv(e3),e3) = unit) | (~(op(e3,inv(e3)) = unit) | (~(op(inv(e2),e2) = unit) | (~(op(e2,inv(e2)) = unit) | (~(op(inv(e1),e1) = unit) | (~(op(e1,inv(e1)) = unit) | (~(op(inv(e0),e0) = unit) | (~(op(e0,inv(e0)) = unit) | ((~(unit = e3) & (~(unit = e2) & (~(unit = e1) & ~(unit = e0)))) | (~(op(e3,unit) = e3) | (~(op(unit,e3) = e3) | (~(op(e2,unit) = e2) | (~(op(unit,e2) = e2) | (~(op(e1,unit) = e1) | (~(op(unit,e1) = e1) | (~(op(e0,unit) = e0) | (~(op(unit,e0) = e0) | (~(op(op(e3,e3),e3) = op(e3,op(e3,e3))) | (~(op(op(e3,e3),e2) = op(e3,op(e3,e2))) | (~(op(op(e3,e3),e1) = op(e3,op(e3,e1))) | (~(op(op(e3,e3),e0) = op(e3,op(e3,e0))) | (~(op(op(e3,e2),e3) = op(e3,op(e2,e3))) | (~(op(op(e3,e2),e2) = op(e3,op(e2,e2))) | (~(op(op(e3,e2),e1) = op(e3,op(e2,e1))) | (~(op(op(e3,e2),e0) = op(e3,op(e2,e0))) | (~(op(op(e3,e1),e3) = op(e3,op(e1,e3))) | (~(op(op(e3,e1),e2) = op(e3,op(e1,e2))) | (~(op(op(e3,e1),e1) = op(e3,op(e1,e1))) | (~(op(op(e3,e1),e0) = op(e3,op(e1,e0))) | (~(op(op(e3,e0),e3) = op(e3,op(e0,e3))) | (~(op(op(e3,e0),e2) = op(e3,op(e0,e2))) | (~(op(op(e3,e0),e1) = op(e3,op(e0,e1))) | (~(op(op(e3,e0),e0) = op(e3,op(e0,e0))) | (~(op(op(e2,e3),e3) = op(e2,op(e3,e3))) | (~(op(op(e2,e3),e2) = op(e2,op(e3,e2))) | (~(op(op(e2,e3),e1) = op(e2,op(e3,e1))) | (~(op(op(e2,e3),e0) = op(e2,op(e3,e0))) | (~(op(op(e2,e2),e3) = op(e2,op(e2,e3))) | (~(op(op(e2,e2),e2) = op(e2,op(e2,e2))) | (~(op(op(e2,e2),e1) = op(e2,op(e2,e1))) | (~(op(op(e2,e2),e0) = op(e2,op(e2,e0))) | (~(op(op(e2,e1),e3) = op(e2,op(e1,e3))) | (~(op(op(e2,e1),e2) = op(e2,op(e1,e2))) | (~(op(op(e2,e1),e1) = op(e2,op(e1,e1))) | (~(op(op(e2,e1),e0) = op(e2,op(e1,e0))) | (~(op(op(e2,e0),e3) = op(e2,op(e0,e3))) | (~(op(op(e2,e0),e2) = op(e2,op(e0,e2))) | (~(op(op(e2,e0),e1) = op(e2,op(e0,e1))) | (~(op(op(e2,e0),e0) = op(e2,op(e0,e0))) | (~(op(op(e1,e3),e3) = op(e1,op(e3,e3))) | (~(op(op(e1,e3),e2) = op(e1,op(e3,e2))) | (~(op(op(e1,e3),e1) = op(e1,op(e3,e1))) | (~(op(op(e1,e3),e0) = op(e1,op(e3,e0))) | (~(op(op(e1,e2),e3) = op(e1,op(e2,e3))) | (~(op(op(e1,e2),e2) = op(e1,op(e2,e2))) | (~(op(op(e1,e2),e1) = op(e1,op(e2,e1))) | (~(op(op(e1,e2),e0) = op(e1,op(e2,e0))) | (~(op(op(e1,e1),e3) = op(e1,op(e1,e3))) | (~(op(op(e1,e1),e2) = op(e1,op(e1,e2))) | (~(op(op(e1,e1),e1) = op(e1,op(e1,e1))) | (~(op(op(e1,e1),e0) = op(e1,op(e1,e0))) | (~(op(op(e1,e0),e3) = op(e1,op(e0,e3))) | (~(op(op(e1,e0),e2) = op(e1,op(e0,e2))) | (~(op(op(e1,e0),e1) = op(e1,op(e0,e1))) | (~(op(op(e1,e0),e0) = op(e1,op(e0,e0))) | (~(op(op(e0,e3),e3) = op(e0,op(e3,e3))) | (~(op(op(e0,e3),e2) = op(e0,op(e3,e2))) | (~(op(op(e0,e3),e1) = op(e0,op(e3,e1))) | (~(op(op(e0,e3),e0) = op(e0,op(e3,e0))) | (~(op(op(e0,e2),e3) = op(e0,op(e2,e3))) | (~(op(op(e0,e2),e2) = op(e0,op(e2,e2))) | (~(op(op(e0,e2),e1) = op(e0,op(e2,e1))) | (~(op(op(e0,e2),e0) = op(e0,op(e2,e0))) | (~(op(op(e0,e1),e3) = op(e0,op(e1,e3))) | (~(op(op(e0,e1),e2) = op(e0,op(e1,e2))) | (~(op(op(e0,e1),e1) = op(e0,op(e1,e1))) | (~(op(op(e0,e1),e0) = op(e0,op(e1,e0))) | (~(op(op(e0,e0),e3) = op(e0,op(e0,e3))) | (~(op(op(e0,e0),e2) = op(e0,op(e0,e2))) | (~(op(op(e0,e0),e1) = op(e0,op(e0,e1))) | (~(op(op(e0,e0),e0) = op(e0,op(e0,e0))) | ((~(op(e3,e3) = e3) & (~(op(e3,e3) = e2) & (~(op(e3,e3) = e1) & ~(op(e3,e3) = e0)))) | ((~(op(e3,e2) = e3) & (~(op(e3,e2) = e2) & (~(op(e3,e2) = e1) & ~(op(e3,e2) = e0)))) | ((~(op(e3,e1) = e3) & (~(op(e3,e1) = e2) & (~(op(e3,e1) = e1) & ~(op(e3,e1) = e0)))) | ((~(op(e3,e0) = e3) & (~(op(e3,e0) = e2) & (~(op(e3,e0) = e1) & ~(op(e3,e0) = e0)))) | ((~(op(e2,e3) = e3) & (~(op(e2,e3) = e2) & (~(op(e2,e3) = e1) & ~(op(e2,e3) = e0)))) | ((~(op(e2,e2) = e3) & (~(op(e2,e2) = e2) & (~(op(e2,e2) = e1) & ~(op(e2,e2) = e0)))) | ((~(op(e2,e1) = e3) & (~(op(e2,e1) = e2) & (~(op(e2,e1) = e1) & ~(op(e2,e1) = e0)))) | ((~(op(e2,e0) = e3) & (~(op(e2,e0) = e2) & (~(op(e2,e0) = e1) & ~(op(e2,e0) = e0)))) | ((~(op(e1,e3) = e3) & (~(op(e1,e3) = e2) & (~(op(e1,e3) = e1) & ~(op(e1,e3) = e0)))) | ((~(op(e1,e2) = e3) & (~(op(e1,e2) = e2) & (~(op(e1,e2) = e1) & ~(op(e1,e2) = e0)))) | ((~(op(e1,e1) = e3) & (~(op(e1,e1) = e2) & (~(op(e1,e1) = e1) & ~(op(e1,e1) = e0)))) | ((~(op(e1,e0) = e3) & (~(op(e1,e0) = e2) & (~(op(e1,e0) = e1) & ~(op(e1,e0) = e0)))) | ((~(op(e0,e3) = e3) & (~(op(e0,e3) = e2) & (~(op(e0,e3) = e1) & ~(op(e0,e3) = e0)))) | ((~(op(e0,e2) = e3) & (~(op(e0,e2) = e2) & (~(op(e0,e2) = e1) & ~(op(e0,e2) = e0)))) | ((~(op(e0,e1) = e3) & (~(op(e0,e1) = e2) & (~(op(e0,e1) = e1) & ~(op(e0,e1) = e0)))) | ((~(op(e0,e0) = e3) & (~(op(e0,e0) = e2) & (~(op(e0,e0) = e1) & ~(op(e0,e0) = e0)))) | (((op(e3,e3) = e3) & ((op(e2,e2) = e3) & ((op(e1,e1) = e3) & (op(e0,e0) = e3)))) | (((op(e3,e3) = e2) & ((op(e2,e2) = e2) & ((op(e1,e1) = e2) & (op(e0,e0) = e2)))) | (((op(e3,e3) = e1) & ((op(e2,e2) = e1) & ((op(e1,e1) = e1) & (op(e0,e0) = e1)))) | ((op(e3,e3) = e0) & ((op(e2,e2) = e0) & ((op(e1,e1) = e0) & (op(e0,e0) = e0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.16/0.54    inference(negpush_and_skolemize,[],['co1'])).
% 0.16/0.54  fof('co1', conjecture, (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(((((((op(e0,e0) = e0) & (op(e1,e1) = e0)) & (op(e2,e2) = e0)) & (op(e3,e3) = e0)) | ((((op(e0,e0) = e1) & (op(e1,e1) = e1)) & (op(e2,e2) = e1)) & (op(e3,e3) = e1))) | ((((op(e0,e0) = e2) & (op(e1,e1) = e2)) & (op(e2,e2) = e2)) & (op(e3,e3) = e2))) | ((((op(e0,e0) = e3) & (op(e1,e1) = e3)) & (op(e2,e2) = e3)) & (op(e3,e3) = e3))) & ((((op(e0,e0) = e0) | (op(e0,e0) = e1)) | (op(e0,e0) = e2)) | (op(e0,e0) = e3))) & ((((op(e0,e1) = e0) | (op(e0,e1) = e1)) | (op(e0,e1) = e2)) | (op(e0,e1) = e3))) & ((((op(e0,e2) = e0) | (op(e0,e2) = e1)) | (op(e0,e2) = e2)) | (op(e0,e2) = e3))) & ((((op(e0,e3) = e0) | (op(e0,e3) = e1)) | (op(e0,e3) = e2)) | (op(e0,e3) = e3))) & ((((op(e1,e0) = e0) | (op(e1,e0) = e1)) | (op(e1,e0) = e2)) | (op(e1,e0) = e3))) & ((((op(e1,e1) = e0) | (op(e1,e1) = e1)) | (op(e1,e1) = e2)) | (op(e1,e1) = e3))) & ((((op(e1,e2) = e0) | (op(e1,e2) = e1)) | (op(e1,e2) = e2)) | (op(e1,e2) = e3))) & ((((op(e1,e3) = e0) | (op(e1,e3) = e1)) | (op(e1,e3) = e2)) | (op(e1,e3) = e3))) & ((((op(e2,e0) = e0) | (op(e2,e0) = e1)) | (op(e2,e0) = e2)) | (op(e2,e0) = e3))) & ((((op(e2,e1) = e0) | (op(e2,e1) = e1)) | (op(e2,e1) = e2)) | (op(e2,e1) = e3))) & ((((op(e2,e2) = e0) | (op(e2,e2) = e1)) | (op(e2,e2) = e2)) | (op(e2,e2) = e3))) & ((((op(e2,e3) = e0) | (op(e2,e3) = e1)) | (op(e2,e3) = e2)) | (op(e2,e3) = e3))) & ((((op(e3,e0) = e0) | (op(e3,e0) = e1)) | (op(e3,e0) = e2)) | (op(e3,e0) = e3))) & ((((op(e3,e1) = e0) | (op(e3,e1) = e1)) | (op(e3,e1) = e2)) | (op(e3,e1) = e3))) & ((((op(e3,e2) = e0) | (op(e3,e2) = e1)) | (op(e3,e2) = e2)) | (op(e3,e2) = e3))) & ((((op(e3,e3) = e0) | (op(e3,e3) = e1)) | (op(e3,e3) = e2)) | (op(e3,e3) = e3))) & (op(op(e0,e0),e0) = op(e0,op(e0,e0)))) & (op(op(e0,e0),e1) = op(e0,op(e0,e1)))) & (op(op(e0,e0),e2) = op(e0,op(e0,e2)))) & (op(op(e0,e0),e3) = op(e0,op(e0,e3)))) & (op(op(e0,e1),e0) = op(e0,op(e1,e0)))) & (op(op(e0,e1),e1) = op(e0,op(e1,e1)))) & (op(op(e0,e1),e2) = op(e0,op(e1,e2)))) & (op(op(e0,e1),e3) = op(e0,op(e1,e3)))) & (op(op(e0,e2),e0) = op(e0,op(e2,e0)))) & (op(op(e0,e2),e1) = op(e0,op(e2,e1)))) & (op(op(e0,e2),e2) = op(e0,op(e2,e2)))) & (op(op(e0,e2),e3) = op(e0,op(e2,e3)))) & (op(op(e0,e3),e0) = op(e0,op(e3,e0)))) & (op(op(e0,e3),e1) = op(e0,op(e3,e1)))) & (op(op(e0,e3),e2) = op(e0,op(e3,e2)))) & (op(op(e0,e3),e3) = op(e0,op(e3,e3)))) & (op(op(e1,e0),e0) = op(e1,op(e0,e0)))) & (op(op(e1,e0),e1) = op(e1,op(e0,e1)))) & (op(op(e1,e0),e2) = op(e1,op(e0,e2)))) & (op(op(e1,e0),e3) = op(e1,op(e0,e3)))) & (op(op(e1,e1),e0) = op(e1,op(e1,e0)))) & (op(op(e1,e1),e1) = op(e1,op(e1,e1)))) & (op(op(e1,e1),e2) = op(e1,op(e1,e2)))) & (op(op(e1,e1),e3) = op(e1,op(e1,e3)))) & (op(op(e1,e2),e0) = op(e1,op(e2,e0)))) & (op(op(e1,e2),e1) = op(e1,op(e2,e1)))) & (op(op(e1,e2),e2) = op(e1,op(e2,e2)))) & (op(op(e1,e2),e3) = op(e1,op(e2,e3)))) & (op(op(e1,e3),e0) = op(e1,op(e3,e0)))) & (op(op(e1,e3),e1) = op(e1,op(e3,e1)))) & (op(op(e1,e3),e2) = op(e1,op(e3,e2)))) & (op(op(e1,e3),e3) = op(e1,op(e3,e3)))) & (op(op(e2,e0),e0) = op(e2,op(e0,e0)))) & (op(op(e2,e0),e1) = op(e2,op(e0,e1)))) & (op(op(e2,e0),e2) = op(e2,op(e0,e2)))) & (op(op(e2,e0),e3) = op(e2,op(e0,e3)))) & (op(op(e2,e1),e0) = op(e2,op(e1,e0)))) & (op(op(e2,e1),e1) = op(e2,op(e1,e1)))) & (op(op(e2,e1),e2) = op(e2,op(e1,e2)))) & (op(op(e2,e1),e3) = op(e2,op(e1,e3)))) & (op(op(e2,e2),e0) = op(e2,op(e2,e0)))) & (op(op(e2,e2),e1) = op(e2,op(e2,e1)))) & (op(op(e2,e2),e2) = op(e2,op(e2,e2)))) & (op(op(e2,e2),e3) = op(e2,op(e2,e3)))) & (op(op(e2,e3),e0) = op(e2,op(e3,e0)))) & (op(op(e2,e3),e1) = op(e2,op(e3,e1)))) & (op(op(e2,e3),e2) = op(e2,op(e3,e2)))) & (op(op(e2,e3),e3) = op(e2,op(e3,e3)))) & (op(op(e3,e0),e0) = op(e3,op(e0,e0)))) & (op(op(e3,e0),e1) = op(e3,op(e0,e1)))) & (op(op(e3,e0),e2) = op(e3,op(e0,e2)))) & (op(op(e3,e0),e3) = op(e3,op(e0,e3)))) & (op(op(e3,e1),e0) = op(e3,op(e1,e0)))) & (op(op(e3,e1),e1) = op(e3,op(e1,e1)))) & (op(op(e3,e1),e2) = op(e3,op(e1,e2)))) & (op(op(e3,e1),e3) = op(e3,op(e1,e3)))) & (op(op(e3,e2),e0) = op(e3,op(e2,e0)))) & (op(op(e3,e2),e1) = op(e3,op(e2,e1)))) & (op(op(e3,e2),e2) = op(e3,op(e2,e2)))) & (op(op(e3,e2),e3) = op(e3,op(e2,e3)))) & (op(op(e3,e3),e0) = op(e3,op(e3,e0)))) & (op(op(e3,e3),e1) = op(e3,op(e3,e1)))) & (op(op(e3,e3),e2) = op(e3,op(e3,e2)))) & (op(op(e3,e3),e3) = op(e3,op(e3,e3)))) & (op(unit,e0) = e0)) & (op(e0,unit) = e0)) & (op(unit,e1) = e1)) & (op(e1,unit) = e1)) & (op(unit,e2) = e2)) & (op(e2,unit) = e2)) & (op(unit,e3) = e3)) & (op(e3,unit) = e3)) & ((((unit = e0) | (unit = e1)) | (unit = e2)) | (unit = e3))) & (op(e0,inv(e0)) = unit)) & (op(inv(e0),e0) = unit)) & (op(e1,inv(e1)) = unit)) & (op(inv(e1),e1) = unit)) & (op(e2,inv(e2)) = unit)) & (op(inv(e2),e2) = unit)) & (op(e3,inv(e3)) = unit)) & (op(inv(e3),e3) = unit)) & ((((inv(e0) = e0) | (inv(e0) = e1)) | (inv(e0) = e2)) | (inv(e0) = e3))) & ((((inv(e1) = e0) | (inv(e1) = e1)) | (inv(e1) = e2)) | (inv(e1) = e3))) & ((((inv(e2) = e0) | (inv(e2) = e1)) | (inv(e2) = e2)) | (inv(e2) = e3))) & ((((inv(e3) = e0) | (inv(e3) = e1)) | (inv(e3) = e2)) | (inv(e3) = e3))),
% 0.16/0.54    input). 
% 0.16/0.54  fof('ax2_$sk', plain, ((op(e3,e3) = e0) & ((op(e3,e2) = e1) & ((op(e3,e1) = e2) & ((op(e3,e0) = e3) & ((op(e2,e3) = e1) & ((op(e2,e2) = e3) & ((op(e2,e1) = e0) & ((op(e2,e0) = e2) & ((op(e1,e3) = e2) & ((op(e1,e2) = e0) & ((op(e1,e1) = e3) & ((op(e1,e0) = e1) & ((op(e0,e3) = e3) & ((op(e0,e2) = e2) & ((op(e0,e1) = e1) & (op(e0,e0) = e0)))))))))))))))),
% 0.16/0.54    inference(negpush_and_skolemize,[],['ax2'])).
% 0.16/0.54  fof('ax2', axiom, ((((((((((((((((op(e0,e0) = e0) & (op(e0,e1) = e1)) & (op(e0,e2) = e2)) & (op(e0,e3) = e3)) & (op(e1,e0) = e1)) & (op(e1,e1) = e3)) & (op(e1,e2) = e0)) & (op(e1,e3) = e2)) & (op(e2,e0) = e2)) & (op(e2,e1) = e0)) & (op(e2,e2) = e3)) & (op(e2,e3) = e1)) & (op(e3,e0) = e3)) & (op(e3,e1) = e2)) & (op(e3,e2) = e1)) & (op(e3,e3) = e0)),
% 0.16/0.54    input). 
% 0.16/0.54  fof('ax1_$sk', plain, (~(e2 = e3) & (~(e1 = e3) & (~(e1 = e2) & (~(e0 = e3) & (~(e0 = e2) & ~(e0 = e1)))))),
% 0.16/0.54    inference(negpush_and_skolemize,[],['ax1'])).
% 0.16/0.54  fof('ax1', axiom, (((((~(e0 = e1) & ~(e0 = e2)) & ~(e0 = e3)) & ~(e1 = e2)) & ~(e1 = e3)) & ~(e2 = e3)),
% 0.16/0.54    input). 
% 0.16/0.54  fof('ax3', axiom, (unit = e0),
% 0.16/0.54    input). 
% 0.16/0.54  fof('ax4_$sk', plain, ((inv(e3) = e3) & ((inv(e2) = e1) & ((inv(e1) = e2) & (inv(e0) = e0)))),
% 0.16/0.54    inference(negpush_and_skolemize,[],['ax4'])).
% 0.16/0.54  fof('ax4', axiom, ((((inv(e0) = e0) & (inv(e1) = e2)) & (inv(e2) = e1)) & (inv(e3) = e3)),
% 0.16/0.54    input). 
% 0.16/0.54  cnf('1', plain, (op(e2,e2) != e1 | $pr($df20) | $pr($df14) | $pr($df13)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('2', plain, (~$pr($df20) | op(e2,e2) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('3', plain, (op(e2,e2) = e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('4', plain, (~$pr($df20) | e3 = e1),
% 0.16/0.54    inference(simplify,[],['2','3'])).
% 0.16/0.54  cnf('5', plain, (e1 != e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax1_$sk'])).
% 0.16/0.54  cnf('6', plain, (~$pr($df20)),
% 0.16/0.54    inference(paramodulation,[],['4','5'])).
% 0.16/0.54  cnf('7', plain, (e3 != e1 | $pr($df14) | $pr($df13)),
% 0.16/0.54    inference(simplify,[then_simplify],['1','6','3'])).
% 0.16/0.54  cnf('8', plain, (op(e3,e3) != e0 | ~$pr($df14)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('9', plain, (op(e3,e3) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('10', plain, (unit = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax3'])).
% 0.16/0.54  cnf('11', plain, (~$pr($df14)),
% 0.16/0.54    inference(simplify,[then_simplify],['8','9','10','10'])).
% 0.16/0.54  cnf('12', plain, (e3 != e1 | $pr($df13)),
% 0.16/0.54    inference(resolution,[],['7','11'])).
% 0.16/0.54  cnf('13', plain, (op(e3,e3) != e0 | $pr($df19) | $pr($df14) | $pr($df13)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('14', plain, ($pr($df19) | $pr($df14) | $pr($df13)),
% 0.16/0.54    inference(simplify,[then_simplify],['13','9','10','10'])).
% 0.16/0.54  cnf('15', plain, ($pr($df19) | $pr($df13)),
% 0.16/0.54    inference(resolution,[],['14','11'])).
% 0.16/0.54  cnf('16', plain, (op(e3,e3) != e0 | ~$pr($df13)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('17', plain, (~$pr($df13)),
% 0.16/0.54    inference(simplify,[then_simplify],['16','9','10','10'])).
% 0.16/0.54  cnf('18', plain, ($pr($df19)),
% 0.16/0.54    inference(resolution,[],['15','17'])).
% 0.16/0.54  cnf('19', plain, (~$pr($df19) | ~$pr($df13)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('20', plain, (~$pr($df13)),
% 0.16/0.54    inference(resolution,[],['18','19'])).
% 0.16/0.54  cnf('21', plain, (e3 != e1),
% 0.16/0.54    inference(simplify,[],['12','20'])).
% 0.16/0.54  cnf('22', plain, (~$pr($df2) | op(e2,e2) = e0 | op(e1,e1) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('23', plain, (op(e1,e1) = e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('24', plain, (~$pr($df2) | e3 = unit | e3 = e1),
% 0.16/0.54    inference(simplify,[then_simplify],['22','3','10','23'])).
% 0.16/0.54  cnf('25', plain, (op(e1,e3) != e2 | ~$pr($df60) | $pr($df52) | $pr($df51)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('26', plain, (op(e1,e3) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('27', plain, (~$pr($df60) | $pr($df52) | $pr($df51)),
% 0.16/0.54    inference(simplify,[],['25','26'])).
% 0.16/0.54  cnf('28', plain, (op(e1,e2) != e0 | ~$pr($df51)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('29', plain, (op(e1,e2) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('30', plain, (~$pr($df51)),
% 0.16/0.54    inference(simplify,[then_simplify],['28','29','10','10'])).
% 0.16/0.54  cnf('31', plain, (~$pr($df60) | $pr($df52)),
% 0.16/0.54    inference(resolution,[],['27','30'])).
% 0.16/0.54  cnf('32', plain, (op(e2,e3) != e1 | ~$pr($df76) | $pr($df68) | $pr($df67)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('33', plain, (op(e2,e3) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('34', plain, (~$pr($df76) | $pr($df68) | $pr($df67)),
% 0.16/0.54    inference(simplify,[],['32','33'])).
% 0.16/0.54  cnf('35', plain, (op(e2,e2) != e3 | ~$pr($df67)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('36', plain, (~$pr($df67)),
% 0.16/0.54    inference(simplify,[],['35','3'])).
% 0.16/0.54  cnf('37', plain, (~$pr($df76) | $pr($df68)),
% 0.16/0.54    inference(resolution,[],['34','36'])).
% 0.16/0.54  cnf('38', plain, (op(e3,e1) != e2 | ~$pr($df84) | $pr($df76) | $pr($df75)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('39', plain, (op(e3,e1) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('40', plain, (~$pr($df84) | $pr($df76) | $pr($df75)),
% 0.16/0.54    inference(simplify,[],['38','39'])).
% 0.16/0.54  cnf('41', plain, (op(e3,e0) != e3 | ~$pr($df75)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('42', plain, (op(e3,e0) = e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('43', plain, (op(e3,unit) = e3),
% 0.16/0.54    inference(paramodulation,[],['10','42'])).
% 0.16/0.54  cnf('44', plain, (~$pr($df75)),
% 0.16/0.54    inference(simplify,[then_simplify],['41','10','43'])).
% 0.16/0.54  cnf('45', plain, (~$pr($df84) | $pr($df76)),
% 0.16/0.54    inference(resolution,[],['40','44'])).
% 0.16/0.54  cnf('46', plain, (op(op(e3,e3),e3) != op(e3,op(e3,e3)) | op(op(e3,e3),e2) != op(e3,op(e3,e2)) | op(op(e3,e2),e3) != op(e3,op(e2,e3)) | op(op(e2,e3),e3) != op(e2,op(e3,e3)) | op(op(e1,e3),e3) != op(e1,op(e3,e3)) | op(op(e3,e1),e3) != op(e3,op(e1,e3)) | op(op(e3,e3),e1) != op(e3,op(e3,e1)) | op(op(e3,e2),e2) != op(e3,op(e2,e2)) | op(op(e2,e3),e2) != op(e2,op(e3,e2)) | op(op(e2,e2),e3) != op(e2,op(e2,e3)) | op(op(e0,e3),e3) != op(e0,op(e3,e3)) | op(op(e1,e3),e2) != op(e1,op(e3,e2)) | op(op(e1,e2),e3) != op(e1,op(e2,e3)) | op(op(e3,e0),e3) != op(e3,op(e0,e3)) | op(op(e3,e1),e2) != op(e3,op(e1,e2)) | op(op(e3,e3),e0) != op(e3,op(e3,e0)) | op(op(e3,e2),e1) != op(e3,op(e2,e1)) | op(op(e2,e1),e3) != op(e2,op(e1,e3)) | op(op(e2,e3),e1) != op(e2,op(e3,e1)) | op(op(e2,e2),e2) != op(e2,op(e2,e2)) | op(op(e0,e3),e2) != op(e0,op(e3,e2)) | op(op(e0,e2),e3) != op(e0,op(e2,e3)) | op(op(e1,e1),e3) != op(e1,op(e1,e3)) | op(op(e1,e3),e1) != op(e1,op(e3,e1)) | op(op(e1,e2),e2) != op(e1,op(e2,e2)) | op(op(e3,e0),e2) != op(e3,op(e0,e2)) | op(op(e3,e1),e1) != op(e3,op(e1,e1)) | op(op(e3,e2),e0) != op(e3,op(e2,e0)) | op(op(e2,e0),e3) != op(e2,op(e0,e3)) | op(op(e2,e1),e2) != op(e2,op(e1,e2)) | op(op(e2,e3),e0) != op(e2,op(e3,e0)) | op(op(e2,e2),e1) != op(e2,op(e2,e1)) | op(op(e0,e1),e3) != op(e0,op(e1,e3)) | op(op(e0,e3),e1) != op(e0,op(e3,e1)) | op(op(e0,e2),e2) != op(e0,op(e2,e2)) | op(op(e1,e0),e3) != op(e1,op(e0,e3)) | op(op(e1,e1),e2) != op(e1,op(e1,e2)) | op(op(e1,e3),e0) != op(e1,op(e3,e0)) | op(op(e1,e2),e1) != op(e1,op(e2,e1)) | op(op(e3,e0),e1) != op(e3,op(e0,e1)) | op(op(e3,e1),e0) != op(e3,op(e1,e0)) | op(op(e2,e0),e2) != op(e2,op(e0,e2)) | op(op(e2,e1),e1) != op(e2,op(e1,e1)) | op(op(e2,e2),e0) != op(e2,op(e2,e0)) | op(op(e0,e0),e3) != op(e0,op(e0,e3)) | op(op(e0,e1),e2) != op(e0,op(e1,e2)) | op(op(e0,e3),e0) != op(e0,op(e3,e0)) | op(op(e0,e2),e1) != op(e0,op(e2,e1)) | op(op(e1,e0),e2) != op(e1,op(e0,e2)) | op(op(e1,e1),e1) != op(e1,op(e1,e1)) | op(op(e1,e2),e0) != op(e1,op(e2,e0)) | op(op(e3,e0),e0) != op(e3,op(e0,e0)) | op(op(e2,e0),e1) != op(e2,op(e0,e1)) | op(op(e2,e1),e0) != op(e2,op(e1,e0)) | op(op(e0,e0),e2) != op(e0,op(e0,e2)) | op(op(e0,e1),e1) != op(e0,op(e1,e1)) | op(op(e0,e2),e0) != op(e0,op(e2,e0)) | op(op(e1,e0),e1) != op(e1,op(e0,e1)) | op(op(e1,e1),e0) != op(e1,op(e1,e0)) | op(op(e2,e0),e0) != op(e2,op(e0,e0)) | op(op(e0,e0),e1) != op(e0,op(e0,e1)) | op(op(e0,e1),e0) != op(e0,op(e1,e0)) | op(op(e1,e0),e0) != op(e1,op(e0,e0)) | op(op(e0,e0),e0) != op(e0,op(e0,e0)) | op(unit,e3) != e3 | op(e3,unit) != e3 | op(unit,e2) != e2 | op(e2,unit) != e2 | op(unit,e1) != e1 | op(e1,unit) != e1 | op(unit,e0) != e0 | op(e0,unit) != e0 | op(e3,e3) != e0 | ~$pr($df92) | $pr($df84) | $pr($df83)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('47', plain, (op(inv(e3),e3) != unit | op(e3,inv(e3)) != unit | op(inv(e2),e2) != unit | op(e2,inv(e2)) != unit | op(inv(e1),e1) != unit | op(e1,inv(e1)) != unit | op(inv(e0),e0) != unit | op(e0,inv(e0)) != unit | inv(e0) != e0 | ~$pr($df244) | $pr($df92) | $pr($df91)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('48', plain, (inv(e2) != e1 | ~$pr($df268) | $pr($df244) | $pr($df243)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('49', plain, (inv(e3) != e3 | ~$pr($df267)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('50', plain, (inv(e3) = e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax4_$sk'])).
% 0.16/0.54  cnf('51', plain, (~$pr($df267)),
% 0.16/0.54    inference(simplify,[],['49','50'])).
% 0.16/0.54  cnf('52', plain, ($pr($df268) | $pr($df267)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('53', plain, ($pr($df268)),
% 0.16/0.54    inference(resolution,[],['51','52'])).
% 0.16/0.54  cnf('54', plain, (inv(e2) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['ax4_$sk'])).
% 0.16/0.54  cnf('55', plain, ($pr($df244) | $pr($df243)),
% 0.16/0.54    inference(simplify,[then_simplify],['48','53','54'])).
% 0.16/0.54  cnf('56', plain, (inv(e1) != e2 | ~$pr($df243)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('57', plain, (inv(e1) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax4_$sk'])).
% 0.16/0.54  cnf('58', plain, (~$pr($df243
% 0.16/0.54  fork 4: search finished without proof.
% 0.16/0.54  )),
% 0.16/0.54    inference(simplify,[],['56','57'])).
% 0.16/0.54  cnf('59', plain, ($pr($df244)),
% 0.16/0.54    inference(resolution,[],['55','58'])).
% 0.16/0.54  cnf('60', plain, (op(e2,e1) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('61', plain, (inv(e0) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax4_$sk'])).
% 0.16/0.54  cnf('62', plain, (inv(e0) = unit),
% 0.16/0.54    inference(paramodulation,[],['10','61'])).
% 0.16/0.54  cnf('63', plain, (inv(unit) = unit),
% 0.16/0.54    inference(simplify,[],['62','10'])).
% 0.16/0.54  cnf('64', plain, (op(e0,e0) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('65', plain, (op(e0,e0) = unit),
% 0.16/0.54    inference(paramodulation,[],['10','64'])).
% 0.16/0.54  cnf('66', plain, (op(unit,unit) = unit),
% 0.16/0.54    inference(simplify,[then_simplify],['65','10','10'])).
% 0.16/0.54  cnf('67', plain, ($pr($df92) | $pr($df91)),
% 0.16/0.54    inference(simplify,[then_simplify],['47','59','50','9','10','50','9','10','54','29','10','54','60','10','57','60','10','57','29','10','10','63','10','66','10','10','63','66','10','63','10'])).
% 0.16/0.54  cnf('68', plain, (unit != e0 | ~$pr($df91)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('69', plain, (~$pr($df91)),
% 0.16/0.54    inference(simplify,[],['68','10'])).
% 0.16/0.54  cnf('70', plain, ($pr($df92)),
% 0.16/0.54    inference(resolution,[],['67','69'])).
% 0.16/0.54  cnf('71', plain, (op(e0,e3) = e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('72', plain, (op(unit,e3) = e3),
% 0.16/0.54    inference(paramodulation,[],['10','71'])).
% 0.16/0.54  cnf('73', plain, (op(e0,e2) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('74', plain, (op(unit,e2) = e2),
% 0.16/0.54    inference(paramodulation,[],['10','73'])).
% 0.16/0.54  cnf('75', plain, (op(e3,e2) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('76', plain, (op(e2,e0) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('77', plain, (op(e2,unit) = e2),
% 0.16/0.54    inference(paramodulation,[],['10','76'])).
% 0.16/0.54  cnf('78', plain, (op(e1,e0) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('79', plain, (op(e1,unit) = e1),
% 0.16/0.54    inference(paramodulation,[],['10','78'])).
% 0.16/0.54  cnf('80', plain, (op(e0,e1) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['ax2_$sk'])).
% 0.16/0.54  cnf('81', plain, (op(unit,e1) = e1),
% 0.16/0.54    inference(paramodulation,[],['10','80'])).
% 0.16/0.54  cnf('82', plain, ($pr($df84) | $pr($df83)),
% 0.16/0.54    inference(simplify,[then_simplify],['46','70','9','10','72','9','10','43','9','10','74','75','39','75','26','33','39','33','26','9','10','77','26','33','9','10','79','39','33','26','75','9','10','81','39','75','75','29','10','3','9','10','33','29','10','75','60','10','3','9','10','33','60','10','10','72','9','10','10','9','10','66','26','3','75','23','29','10','72','33','23','10','43','9','10','10','72','9','10','39','3','29','10','43','9','10','10','66','10','43','9','10','75','23','60','10','43','60','10','72','26','3','33','23','39','3','3','75','3','33','10','72','75','10','75','81','10','74','33','10','33','81','23','9','10','26','29','10','26','60','10','39','29','10','29','10','74','3','26','10','43','75','10','74','75','39','60','10','23','9','10','75','10','79','10','77','75','10','77','33','10','72','33','60','10','74','29','10','77','33','10','79','10','43','33','3','39','60','10','77','10','81','26','10','26','74','10','72','39','10','39','74','10','74','3','10','3','72','10','79','26','10','72','26','23','75','29','10','79','26','10','77','10','43','26','29','10','81','60','10','79','10','43','39','10','81','39','39','10','77','10','79','39','10','77','3','10','74','3','60','10','81','23','33','3','10','43','10','77','3','10','10','66','72','10','10','72','72','10','81','29','10','10','29','10','66','10','72','10','43','10','10','43','72','10','74','60','10','10','60','10','66','10','79','29','10','10','74','29','10','23','39','23','26','29','10','10','66','10','77','29','10','10','43','10','43','10','10','66','43','10','77','60','10','10','81','60','10','60','10','10','66','10','79','60','10','10','10','66','74','10','10','74','74','10','81','23','10','23','72','10','74','10','77','10','10','77','74','10','79','23','10','81','23','23','10','43','10','79','23','10','77','10','77','10','10','66','77','10','10','66','81','10','10','81','81','10','81','10','79','10','10','79','81','10','79','10','79','10','10','66','79','10','10','66','10','66','10','10','10','66','66','72','43','74','77','81','79','10','66','10','10','66','10','9','10','10'])).
% 0.16/0.54  cnf('83', plain, (op(e3,e2) != e1 | ~$pr($df83)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('84', plain, (~$pr($df83)),
% 0.16/0.54    inference(simplify,[],['83','75'])).
% 0.16/0.54  cnf('85', plain, ($pr($df84)),
% 0.16/0.54    inference(resolution,[],['82','84'])).
% 0.16/0.54  cnf('86', plain, ($pr($df76)),
% 0.16/0.54    inference(simplify,[],['45','85'])).
% 0.16/0.54  cnf('87', plain, (~$pr($df76) | $pr($df89) | $pr($df86) | $pr($df85)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('88', plain, (~$pr($df86) | op(e3,e1) = e1),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('89', plain, (~$pr($df86) | e2 = e1),
% 0.16/0.54    inference(simplify,[],['88','39'])).
% 0.16/0.54  cnf('90', plain, (e1 != e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax1_$sk'])).
% 0.16/0.54  cnf('91', plain, (~$pr($df86)),
% 0.16/0.54    inference(paramodulation,[],['89','90'])).
% 0.16/0.54  cnf('92', plain, (~$pr($df85) | op(e3,e1) = e0),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('93', plain, (~$pr($df85) | e2 = unit),
% 0.16/0.54    inference(simplify,[then_simplify],['92','39','10'])).
% 0.16/0.54  cnf('94', plain, (e0 != e2),
% 0.16/0.54    inference(cnf_transformation,[],['ax1_$sk'])).
% 0.16/0.54  cnf('95', plain, (unit != e2),
% 0.16/0.54    inference(simplify,[],['94','10'])).
% 0.16/0.54  cnf('96', plain, (~$pr($df85)),
% 0.16/0.54    inference(paramodulation,[],['93','95'])).
% 0.16/0.54  cnf('97', plain, (~$pr($df76) | $pr($df89)),
% 0.16/0.54    inference(simplify,[then_simplify],['87','91','96'])).
% 0.16/0.54  cnf('98', plain, ($pr($df89)),
% 0.16/0.54    inference(resolution,[],['86','97'])).
% 0.16/0.54  cnf('99', plain, (~$pr($df89) | $pr($df76)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('100', plain, ($pr($df76)),
% 0.16/0.54    inference(resolution,[],['98','99'])).
% 0.16/0.54  cnf('101', plain, ($pr($df68)),
% 0.16/0.54    inference(simplify,[],['37','100'])).
% 0.16/0.54  cnf('102', plain, (op(e2,e1) != e0 | ~$pr($df68) | $pr($df59) | $pr($df60)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('103', plain, (~$pr($df68) | $pr($df59) | $pr($df60)),
% 0.16/0.54    inference(simplify,[then_simplify],['102','60','10','10'])).
% 0.16/0.54  cnf('104', plain, (op(e2,e0) != e2 | ~$pr($df59)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('105', plain, (~$pr($df59)),
% 0.16/0.54    inference(simplify,[then_simplify],['104','10','77'])).
% 0.16/0.54  cnf('106', plain, (~$pr($df68) | $pr($df60)),
% 0.16/0.54    inference(resolution,[],['103','105'])).
% 0.16/0.54  cnf('107', plain, ($pr($df60)),
% 0.16/0.54    inference(resolution,[],['101','106'])).
% 0.16/0.54  cnf('108', plain, ($pr($df52)),
% 0.16/0.54    inference(simplify,[],['31','107'])).
% 0.16/0.54  cnf('109', plain, (op(e1,e1) != e3 | ~$pr($df52) | $pr($df44) | $pr($df43)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('110', plain, (~$pr($df52) | $pr($df44) | $pr($df43)),
% 0.16/0.54    inference(simplify,[],['109','23'])).
% 0.16/0.54  cnf('111', plain, (op(e1,e0) != e1 | ~$pr($df43)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('112', plain, (~$pr($df43)),
% 0.16/0.54    inference(simplify,[then_simplify],['111','10','79'])).
% 0.16/0.54  cnf('113', plain, (~$pr($df52) | $pr($df44)),
% 0.16/0.54    inference(resolution,[],['110','112'])).
% 0.16/0.54  cnf('114', plain, ($pr($df44)),
% 0.16/0.54    inference(resolution,[],['108','113'])).
% 0.16/0.54  cnf('115', plain, (op(e0,e3) != e3 | ~$pr($df44) | $pr($df36) | $pr($df35)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('116', plain, (~$pr($df44) | $pr($df36) | $pr($df35)),
% 0.16/0.54    inference(simplify,[then_simplify],['115','10','72'])).
% 0.16/0.54  cnf('117', plain, (op(e0,e2) != e2 | ~$pr($df35)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('118', plain, (~$pr($df35)),
% 0.16/0.54    inference(simplify,[then_simplify],['117','10','74'])).
% 0.16/0.54  cnf('119', plain, (~$pr($df44) | $pr($df36)),
% 0.16/0.54    inference(resolution,[],['116','118'])).
% 0.16/0.54  cnf('120', plain, ($pr($df36)),
% 0.16/0.54    inference(resolution,[],['114','119'])).
% 0.16/0.54  cnf('121', plain, (op(e0,e1) != e1 | ~$pr($df36) | $pr($df28) | $pr($df27)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('122', plain, (~$pr($df36) | $pr($df28) | $pr($df27)),
% 0.16/0.54    inference(simplify,[then_simplify],['121','10','81'])).
% 0.16/0.54  cnf('123', plain, (op(e0,e0) != e0 | ~$pr($df27)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('124', plain, (~$pr($df27)),
% 0.16/0.54    inference(simplify,[then_simplify],['123','10','10','66','10'])).
% 0.16/0.54  cnf('125', plain, (~$pr($df36) | $pr($df28)),
% 0.16/0.54    inference(resolution,[],['122','124'])).
% 0.16/0.54  cnf('126', plain, ($pr($df28)),
% 0.16/0.54    inference(resolution,[],['120','125'])).
% 0.16/0.54  cnf('127', plain, (~$pr($df28) | op(e0,e0) = e3 | $pr($df1) | $pr($df2)),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('128', plain, (e0 != e3),
% 0.16/0.54    inference(cnf_transformation,[],['ax1_$sk'])).
% 0.16/0.54  cnf('129', plain, (unit != e3),
% 0.16/0.54    inference(paramodulation,[],['10','128'])).
% 0.16/0.54  cnf('130', plain, (~$pr($df1) | op(e3,e3) = e2),
% 0.16/0.54    inference(cnf_transformation,[],['co1_$sk'])).
% 0.16/0.54  cnf('131', plain, (~$pr($df1) | unit = e2),
% 0.16/0.54    inference(simplify,[then_simplify],['130','9','10'])).
% 0.16/0.54  cnf('132', plain, (~$pr($df1)),
% 0.16/0.54    inference(resolution,[],['131','95'])).
% 0.16/0.54  cnf('133', plain, (~$pr($df28) | $pr($df2)),
% 0.16/0.54    inference(simplify,[then_simplify],['127','129','132','10','10','66'])).
% 0.16/0.54  cnf('134', plain, ($pr($df2)),
% 0.16/0.54    inference(resolution,[],['126','133'])).
% 0.16/0.54  cnf('135', plain, (e3 = unit),
% 0.16/0.54    inference(resolution,[then_simplify],['21','24','134'])).
% 0.16/0.54  cnf('136', plain, (unit != e3),
% 0.16/0.54    inference(paramodulation,[],['10','128'])).
% 0.16/0.54  cnf('137', plain, ($false),
% 0.16/0.54    inference(paramodulation,[],['135','136'])).
% 0.16/0.54  
% 0.16/0.54  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.16/0.54  
% 0.16/0.54  run 6 fork 5 statistics:
% 0.16/0.54  ----------------------------------
% 0.16/0.54  this run seconds: 0.054266
% 0.16/0.54  total seconds: 0.092407
% 0.16/0.54  stat_given_used: 1151
% 0.16/0.54  stat_given_used_at_endgame: 0
% 0.16/0.54  stat_given_candidates:   2509
% 0.16/0.54  stat_given_candidates_at_endgame: 0
% 0.16/0.54  stat_given_candidates_h: 0
% 0.16/0.54  stat_binres_derived_cl:   879
% 0.16/0.54  stat_binres_derived_cl_h: 0
% 0.16/0.54  stat_factor_derived_cl: 0
% 0.16/0.54  stat_para_derived_cl: 1135
% 0.16/0.54  stat_tautologies_discarded: 8
% 0.16/0.54  stat_forward_subsumed: 833
% 0.16/0.54  stat_derived_cut: 440
% 0.16/0.54  stat_derived_rewritten: 269
% 0.16/0.54  stat_weight_discarded_building: 0
% 0.16/0.54  stat_weight_discarded_cl: 0
% 0.16/0.54  stat_internlimit_discarded_cl: 0
% 0.16/0.54  stat_simplified:  422 simplified 0 derived 0 given
% 0.16/0.54  stat_kept_cl: 1100
% 0.16/0.54  stat_built_cl: 3824
% 0.16/0.54  stat_hyperres_partial_cl: 0
% 0.16/0.54  stat_made_rewriters: 30
% 0.16/0.54  stat_backward_subsumed: 0
% 0.16/0.54  stat_propagated_subsumed: 0
% 0.16/0.54  stat_clsubs_attempted:                      1955
% 0.16/0.54  stat_clsubs_fact_groundunit_found:             3
% 0.16/0.54  stat_clsubs_rule_groundunit_found:           142
% 0.16/0.54  stat_clsubs_top_meta_attempted:             604461
% 0.16/0.54  stat_clsubs_top_meta_failed:                602506
% 0.16/0.54  stat_clsubs_top_meta_nonpref_attempted:              604461
% 0.16/0.54  stat_clsubs_top_meta_nonpref_succeeded:              210244
% 0.16/0.54  stat_clsubs_top_meta_pref_attempted:                 210244
% 0.16/0.54  stat_clsubs_top_meta_pref1_succeeded:                174967
% 0.16/0.54  stat_clsubs_top_meta_pref2_succeeded:                  2020
% 0.16/0.54  stat_clsubs_top_meta_pref3_succeeded:                  1955
% 0.16/0.54  stat_clsubs_top_meta_pref_succeeded:                   1955
% 0.16/0.54  stat_clsubs_meta_attempted:                 3897
% 0.16/0.54  stat_clsubs_meta_failed:                    3185
% 0.16/0.54  stat_clsubs_predsymbs_attempted:               0
% 0.16/0.54  stat_clsubs_unit_attempted:                    0
% 0.16/0.54  stat_clsubs_full_attempted:                 1955
% 0.16/0.54  stat_forwardsubs_attempted:                 1933
% 0.16/0.54  stat_lit_hash_added:                   3014
% 0.16/0.54  stat_lit_hash_computed:               18441
% 0.16/0.54  stat_lit_hash_match_found:             2081
% 0.16/0.54  stat_lit_hash_match_miss:             17541
% 0.16/0.54  stat_lit_hash_cut_ok:                   585
% 0.16/0.54  stat_lit_strong_cut_ok:                   0
% 0.16/0.54  stat_lit_hash_subsume_ok:               833
% 0.16/0.54  clqueue els 10000000 used 1
% 0.16/0.54  clactive els 10000000 used 1152
% 0.16/0.54  clactivesubsume els 10000000 used 5083
% 0.16/0.54  queue_termbuf els 200000000 used 78121
% 0.16/0.54  hyper_termbuf els 100000000 used 1
% 0.16/0.54  active_termbuf els 100000000 used 24171
% 0.16/0.54  varstack els 5000 last used 1
% 0.16/0.54  given_termbuf els 10000000 last used 1
% 0.16/0.54  simplified_termbuf els 10000000 last used 1
% 0.16/0.54  
% 0.16/0.54  fork 7: search finished without proof.
% 0.16/0.54  derived_termbuf els 10000000 last used 22
% 0.16/0.54  wr_mallocs: 10697
% 0.16/0.54  wr_callocs: 21
% 0.16/0.54  wr_reallocs: 772
% 0.16/0.54  wr_frees: 4
% 0.16/0.54  wr_malloc_bytes: 4162954964
% 0.16/0.54  wr_calloc_bytes: 112065536
% 0.16/0.54  wr_realloc_bytes: 220888
% 0.16/0.54  wr_realloc_freebytes: 0
% 0.16/0.54  ----------------------------------
%------------------------------------------------------------------------------