TSTP Solution File: SWW245+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SWW245+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n023.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 : Fri Sep  1 00:34:39 EDT 2023

% Result   : Theorem 2.37s 0.85s
% Output   : CNFRefutation 2.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW245+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n023.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 : Sun Aug 27 22:56:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  input clause set summed statistics:
% 0.20/0.46  ----------------------------------
% 0.20/0.46  in_clause_count:                  1681
% 0.20/0.46  in_rule_clause_count:             1599
% 0.20/0.46  in_fact_clause_count:               82
% 0.20/0.46  in_answer_clause_count:              0
% 0.20/0.46  in_ground_clause_count:            101
% 0.20/0.46  in_unit_clause_count:              220
% 0.20/0.46  in_horn_clause_count:             1358
% 0.20/0.46  in_pos_clause_count:               237
% 0.20/0.46  in_neg_clause_count:                84
% 0.20/0.46  in_poseq_clause_count:             935
% 0.20/0.46  in_negeq_clause_count:             392
% 0.20/0.46  in_unitposeq_clause_count:         110
% 0.20/0.46  in_chain_clause_count:              30
% 0.20/0.46  in_min_length:             1
% 0.20/0.46  in_max_length:             7
% 0.20/0.46  in_min_depth:              1
% 0.20/0.46  in_max_depth:              9
% 0.20/0.46  in_min_size:               2
% 0.20/0.46  in_max_size:              85
% 0.20/0.46  in_min_vars:               0
% 0.20/0.46  in_max_vars:               8
% 0.20/0.46  in_extaxiom_count:                 0
% 0.20/0.46  in_axiom_count:                 1676
% 0.20/0.46  in_assumption_count:               1
% 0.20/0.46  in_goal_count:                     4
% 0.20/0.46  in_neg_goal_count:                 0
% 0.20/0.46  in_pos_goal_count:                 0
% 0.20/0.46  in_posunit_goal_count:             0
% 0.20/0.46  
% 0.20/0.46  auto guide:
% 0.20/0.46  -----------
% 0.20/0.46  {
% 0.20/0.46  "print":1,
% 0.20/0.46  "print_level": 15,
% 0.20/0.46  "max_size": 0,
% 0.20/0.46  "max_depth": 0,
% 0.20/0.46  "max_length": 0,
% 0.20/0.46  "max_dseconds": 0,
% 0.20/0.46  "runs":[
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.46  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"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},
% 0.20/0.46  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"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},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.46  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.46  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.46  {"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},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.46  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.46  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.46  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.46  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.46  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.46  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "sine":1, "max_dseconds":1},
% 0.20/0.46  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.46  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.20/0.46  
% 0.20/0.46  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.46  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
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% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.46  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.46  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.46  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.46  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.46  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.46  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.46  {"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},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.20/0.46  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.46  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.46  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.46  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.46  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.46  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.46  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.46  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.46  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.46  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.46  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.46  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "sine":1, "max_dseconds":50},
% 0.20/0.46  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.46  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.46  
% 0.20/0.46  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "max_ground_weight","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.46  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.46  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.46  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.20/0.46  
% 0.20/0.46  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.46  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.20/0.46  
% 0.20/0.46  ]}
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  **** run 1 fork 0 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 2 fork 1 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 3 fork 2 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.20/0.46  
% 0.20/0.46  **** run 4 fork 3 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 5 fork 4 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 0.20/0.46  
% 0.20/0.46  **** run 6 fork 5 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.20/0.46  
% 0.20/0.46  **** run 7 fork 6 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 8 fork 7 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 7: search terminated without proof.
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 5: search terminated without proof.
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 2: search terminated without proof.
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 0: search terminated without proof.
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 6: search terminated without proof.
% 1.24/0.61  
% 1.24/0.61  
% 1.24/0.61  fork 4: search terminated without proof.
% 1.24/0.63  
% 1.24/0.63  **** run 16 fork 7 starts with strategy
% 1.24/0.63  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 1.24/0.63  
% 1.24/0.63  
% 1.24/0.63  fork 1: search terminated without proof.
% 1.55/0.63  
% 1.55/0.63  **** run 14 fork 5 starts with strategy
% 1.55/0.63  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.55/0.64  
% 1.55/0.64  **** run 11 fork 2 starts with strategy
% 1.55/0.64  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 1.55/0.64  
% 1.55/0.64  **** run 9 fork 0 starts with strategy
% 1.55/0.64  {"max_dseconds":1,"strategy":["query_focus","posunitpara"],"query_preference":1,"depth_penalty":50,"length_penalty":100,"sine":1}
% 1.55/0.64  
% 1.55/0.64  **** run 15 fork 6 starts with strategy
% 1.55/0.64  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.55/0.64  
% 1.55/0.64  **** run 13 fork 4 starts with strategy
% 1.55/0.64  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.58/0.66  
% 1.58/0.66  **** run 10 fork 1 starts with strategy
% 1.58/0.66  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 2.37/0.76  
% 2.37/0.76  
% 2.37/0.76  fork 7: search terminated without proof.
% 2.37/0.77  
% 2.37/0.77  
% 2.37/0.77  fork 5: search terminated without proof.
% 2.37/0.77  
% 2.37/0.77  
% 2.37/0.77  fork 6: search terminated without proof.
% 2.37/0.77  
% 2.37/0.77  
% 2.37/0.77  fork 4: search terminated without proof.
% 2.37/0.78  
% 2.37/0.78  
% 2.37/0.78  fork 2: search terminated without proof.
% 2.37/0.78  
% 2.37/0.78  **** run 24 fork 7 starts with strategy
% 2.37/0.78  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 2.37/0.79  
% 2.37/0.79  **** run 22 fork 5 starts with strategy
% 2.37/0.79  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 2.37/0.79  
% 2.37/0.79  **** run 23 fork 6 starts with strategy
% 2.37/0.79  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 2.37/0.79  
% 2.37/0.79  
% 2.37/0.79  fork 1: search terminated without proof.
% 2.37/0.79  
% 2.37/0.79  **** run 21 fork 4 starts with strategy
% 2.37/0.79  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 2.37/0.81  
% 2.37/0.81  **** run 19 fork 2 starts with strategy
% 2.37/0.81  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 2.37/0.82  
% 2.37/0.82  **** run 18 fork 1 starts with strategy
% 2.37/0.82  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 2.37/0.84  No candidate clauses found.
% 2.37/0.84  
% 2.37/0.84  
% 2.37/0.84  fork 4: search terminated without proof.
% 2.37/0.85  
% 2.37/0.85  
% 2.37/0.85  result: proof found
% 2.37/0.85  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.37/0.85  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 2.37/0.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.37/0.85  
% 2.37/0.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.37/0.85  fof('conj_0_$sk', plain, ((~(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),$sk1(X1,X2,X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),$sk1(X1,X2,X3)),X2)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X3)),$sk1(X1,X2,X3)))) | ((~(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3))),X2)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))) & ~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) | (~(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3))),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) & (c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))) | (X1 = c_Groups_Ozero__class_Ozero(t_a))),
% 2.37/0.85    inference(negpush_and_skolemize,[],['conj_0'])).
% 2.37/0.85  fof('conj_0', conjecture, (? [B_k,B_a] : (~(B_a = c_Groups_Ozero__class_Ozero(t_a)) & (? [B_q] : ((((c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) & (~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))))) & (! [B_z] : (hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),B_z),B_k)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,B_a,B_q)),B_z)))))))),
% 2.37/0.85    input). 
% 2.37/0.85  fof('tfree_0', hypothesis, class_Rings_Oidom(t_a),
% 2.37/0.85    input). 
% 2.37/0.85  fof('fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk', plain, (((((hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),$sk25)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,$sk24,$sk26)),X1))) & (((c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))) | (c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) & ((c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))) & ~($sk24 = c_Groups_Ozero__class_Ozero(t_a))) | ~(v_c____ = c_Groups_Ozero__class_Ozero(t_a))) | ~class_Rings_Oidom(t_a)),
% 2.37/0.85    inference(negpush_and_skolemize,[],['fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096'])).
% 2.37/0.85  fof('fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096', axiom, (class_Rings_Oidom(t_a) => ((v_c____ = c_Groups_Ozero__class_Ozero(t_a)) => (? [B_k,B_a] : (~(B_a = c_Groups_Ozero__class_Ozero(t_a)) & (? [B_q] : ((((c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) & (~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))))) & (! [B_z] : (hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),B_z),B_k)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,B_a,B_q)),B_z)))))))))),
% 2.37/0.85    input). 
% 2.37/0.85  fof('fact_nat_Osimps_I3_J_$sk', plain, ~(c_Nat_OSuc(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 2.37/0.85    inference(negpush_and_skolemize,[],['fact_nat_Osimps_I3_J'])).
% 2.37/0.85  fof('fact_nat_Osimps_I3_J', axiom, (! [V_nat_H_1] : ~(c_Nat_OSuc(V_nat_H_1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 2.37/0.85    input). 
% 2.37/0.85  fof('fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk', plain, (((((hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),$sk28)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,$sk27,$sk29)),X1))) & (((c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk29,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk29))),$sk28)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))) | (c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) & ((c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk29,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk29))),$sk28)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))) & ~($sk27 = c_Groups_Ozero__class_Ozero(t_a))) | (v_c____ = c_Groups_Ozero__class_Ozero(t_a))) | ~class_Rings_Oidom(t_a)),
% 2.37/0.85    inference(negpush_and_skolemize,[],['fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096'])).
% 2.37/0.85  fof('fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096', axiom, (class_Rings_Oidom(t_a) => (~(v_c____ = c_Groups_Ozero__class_Ozero(t_a)) => (? [B_k,B_a] : (~(B_a = c_Groups_Ozero__class_Ozero(t_a)) & (? [B_q] : ((((c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) & (~(c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) => (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(B_q,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,B_q))),B_k)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))))) & (! [B_z] : (hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),B_z),B_k)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,B_a,B_q)),B_z)))))))))),
% 2.37/0.85    input). 
% 2.37/0.85  cnf('1', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),$sk1(X2,X1,X0)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),$sk1(X2,X1,X0)),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,X0)),$sk1(X2,X1,X0))) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X0))),X1)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | X2 = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['conj_0_$sk'])).
% 2.37/0.85  cnf('2', plain, (class_Rings_Oidom(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['tfree_0'])).
% 2.37/0.85  cnf('3', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | v_c____ != c_Groups_Ozero__class_Ozero(t_a) | ~class_Rings_Oidom(t_a) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('4', plain, (c_Nat_OSuc(X) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 2.37/0.85    inference(cnf_transformation,[],['fact_nat_Osimps_I3_J_$sk'])).
% 2.37/0.85  cnf('5', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | v_c____ != c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[then_simplify],['2','3','4'])).
% 2.37/0.85  cnf('6', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | ~class_Rings_Oidom(t_a) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk29,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk29))),$sk28)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) | v_c____ = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('7', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | v_c____ = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[then_simplify],['2','6','4'])).
% 2.37/0.85  cnf('8', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 2.37/0.85    inference(simplify,[],['5','7'])).
% 2.37/0.85  cnf('9', plain, (hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),$sk1(X,Y,Z)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),$sk1(X,Y,Z)),Y)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X,Z)),$sk1(X,Y,Z))) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(Z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,Z))),Y)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | X = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(simplify,[],['1','8'])).
% 2.37/0.85  cnf('10', plain, (~class_Rings_Oidom(t_a) | v_c____ = c_Groups_Ozero__class_Ozero(t_a) | hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X),$sk28)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,$sk27,$sk29)),X))),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('11', plain, (c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),$sk1(X,Y,Z)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),$sk1(X,Y,Z)),Y)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X,Z)),$sk1(X,Y,Z))) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(Z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,Z))),Y)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | X = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['conj_0_$sk'])).
% 2.37/0.85  cnf('12', plain, (v_c____ != c_Groups_Ozero__class_Ozero(t_a) | ~class_Rings_Oidom(t_a) | hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X),$sk25)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,$sk24,$sk26)),X))),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('13', plain, (class_Rings_Oidom(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['tfree_0'])).
% 2.37/0.85  cnf('14', plain, (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | v_c____ != c_Groups_Ozero__class_Ozero(t_a) | c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | $sk24 = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[then_simplify],['11','12','13'])).
% 2.37/0.85  cnf('15', plain, (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | v_c____ != c_Groups_Ozero__class_Ozero(t_a) | $sk24 = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(simplify,[],['14','8'])).
% 2.37/0.85  cnf('16', plain, (v_c____ != c_Groups_Ozero__class_Ozero(t_a) | ~class_Rings_Oidom(t_a) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk26,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk26))),$sk25)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('17', plain, (v_c____ != c_Groups_Ozero__class_Ozero(t_a) | $sk24 = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[then_simplify],['15','16','13','8'])).
% 2.37/0.85  cnf('18', plain, ($sk24 != c_Groups_Ozero__class_Ozero(t_a) | v_c____ != c_Groups_Ozero__class_Ozero(t_a) | ~class_Rings_Oidom(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('19', plain, ($sk24 != c_Groups_Ozero__class_Ozero(t_a) | v_c____ != c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[],['2','18'])).
% 2.37/0.85  cnf('20', plain, (v_c____ != c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(simplify,[],['17','19'])).
% 2.37/0.85  cnf('21', plain, (~class_Rings_Oidom(t_a) | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk29,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk29))),$sk28)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) | c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) | v_c____ = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('22', plain, (c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal($sk29,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,$sk29))),$sk28)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))),
% 2.37/0.85    inference(resolution,[then_simplify],['20','21','13','8'])).
% 2.37/0.85  cnf('23', plain, ($sk27 != c_Groups_Ozero__class_Ozero(t_a) | ~class_Rings_Oidom(t_a) | v_c____ = c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(cnf_transformation,[],['fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096_$sk'])).
% 2.37/0.85  cnf('24', plain, ($sk27 != c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(resolution,[then_simplify],['20','23','13'])).
% 2.37/0.85  cnf('25', plain, (v_c____ != c_Groups_Ozero__class_Ozero(t_a)),
% 2.37/0.85    inference(simplify,[],['17','19'])).
% 2.37/0.85  cnf('26', plain, ($false),
% 2.37/0.85    inference(resolution,[then_simplify],['9','10','22','24','13','25'])).
% 2.37/0.85  
% 2.37/0.85  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.37/0.85  
% 2.37/0.85  run 4 fork 3 statistics:
% 2.37/0.85  ----------------------------------
% 2.37/0.85  this run seconds: 0.033558
% 2.37/0.85  total seconds: 0.102225
% 2.37/0.85  stat_given_used: 12
% 2.37/0.85  stat_given_used_at_endgame: 0
% 2.37/0.85  stat_given_candidates:   15
% 2.37/0.85  stat_given_candidates_at_endgame: 0
% 2.37/0.85  stat_given_candidates_h: 0
% 2.37/0.85  stat_binres_derived_cl:   995
% 2.37/0.85  stat_binres_derived_cl_h: 0
% 2.37/0.85  stat_factor_derived_cl: 0
% 2.37/0.85  stat_para_derived_cl: 1570
% 2.37/0.85  stat_tautologies_discarded: 10
% 2.37/0.85  stat_forward_subsumed: 787
% 2.37/0.85  stat_derived_cut: 365
% 2.37/0.85  stat_derived_rewritten: 0
% 2.37/0.85  stat_weight_discarded_building: 0
% 2.37/0.85  stat_weight_discarded_cl: 0
% 2.37/0.85  stat_internlimit_discarded_cl: 0
% 2.37/0.85  stat_simplified:  73 simplified 0 derived 0 given
% 2.37/0.85  stat_kept_cl: 1739
% 2.37/0.85  stat_built_cl: 5120
% 2.37/0.85  stat_hyperres_partial_cl: 0
% 2.37/0.85  stat_made_rewriters: 0
% 2.37/0.85  stat_backward_subsumed: 0
% 2.37/0.85  stat_propagated_subsumed: 0
% 2.37/0.85  stat_clsubs_attempted:                        71
% 2.37/0.85  stat_clsubs_fact_groundunit_found:             0
% 2.37/0.85  stat_clsubs_rule_groundunit_found:             0
% 2.37/0.85  stat_clsubs_top_meta_attempted:              18710
% 2.37/0.85  stat_clsubs_top_meta_failed:                 18639
% 2.37/0.85  stat_clsubs_top_meta_nonpref_attempted:               18710
% 2.37/0.85  stat_clsubs_top_meta_nonpref_succeeded:                3934
% 2.37/0.85  stat_clsubs_top_meta_pref_attempted:                   3934
% 2.37/0.85  stat_clsubs_top_meta_pref1_succeeded:                   782
% 2.37/0.85  stat_clsubs_top_meta_pref2_succeeded:                   227
% 2.37/0.85  stat_clsubs_top_meta_pref3_succeeded:                    71
% 2.37/0.85  stat_clsubs_top_meta_pref_succeeded:                     71
% 2.37/0.85  stat_clsubs_meta_attempted:                  154
% 2.37/0.85  stat_clsubs_meta_failed:                      53
% 2.37/0.85  stat_clsubs_predsymbs_attempted:               0
% 2.37/0.85  stat_clsubs_unit_attempted:                   45
% 2.37/0.85  stat_clsubs_full_attempted:                   26
% 2.37/0.85  stat_forwardsubs_attempted:                 2527
% 2.37/0.85  stat_lit_hash_added:                   3066
% 2.37/0.85  stat_lit_hash_computed:               13296
% 2.37/0.85  stat_lit_hash_match_found:             1303
% 2.37/0.85  stat_lit_hash_match_miss:             15826
% 2.37/0.85  stat_lit_hash_cut_ok:                   586
% 2.37/0.85  stat_lit_strong_cut_ok:                  17
% 2.37/0.85  stat_lit_hash_subsume_ok:               787
% 2.37/0.85  clqueue els 10000000 used 1
% 2.37/0.85  clactive els 10000000 used 1655
% 2.37/0.85  clactivesubsume els 10000000 used 9361
% 2.37/0.85  queue_termbuf els 200000000 used 229186
% 2.37/0.85  hyper_termbuf els 100000000 used 1
% 2.37/0.85  active_termbuf els 100000000 used 96621
% 2.37/0.85  varstack els 5000 last used 1
% 2.37/0.85  given_termbuf els 10000000 last used 1
% 2.37/0.85  simplified_termbuf els 10000000 last used 1
% 2.37/0.85  derived_termbuf els 10000000 last used 145
% 2.37/0.85  wr_mallocs: 22695
% 2.37/0.85  wr_callocs: 21
% 2.37/0.85  wr_reallocs: 610
% 2.37/0.85  wr_frees: 4
% 2.37/0.85  wr_malloc_bytes: 4163362164
% 2.37/0.85  wr_calloc_bytes: 112065536
% 2.37/0.85  wr_realloc_bytes: 158072
% 2.37/0.85  wr_realloc_freebytes: 0
% 2.37/0.85  ----------------------------------
%------------------------------------------------------------------------------