TSTP Solution File: SWC204+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SWC204+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:38:17 EDT 2023

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC204+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : gkc %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 17:59:13 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.38  
% 0.18/0.38  input clause set summed statistics:
% 0.18/0.38  ----------------------------------
% 0.18/0.38  in_clause_count:                   202
% 0.18/0.38  in_rule_clause_count:              186
% 0.18/0.38  in_fact_clause_count:               16
% 0.18/0.38  in_answer_clause_count:              0
% 0.18/0.38  in_ground_clause_count:             22
% 0.18/0.38  in_unit_clause_count:               18
% 0.18/0.38  in_horn_clause_count:              129
% 0.18/0.38  in_pos_clause_count:                17
% 0.18/0.38  in_neg_clause_count:                14
% 0.18/0.38  in_poseq_clause_count:              67
% 0.18/0.38  in_negeq_clause_count:              38
% 0.18/0.38  in_unitposeq_clause_count:           2
% 0.18/0.38  in_chain_clause_count:               0
% 0.18/0.38  in_min_length:             1
% 0.18/0.38  in_max_length:            10
% 0.18/0.38  in_min_depth:              1
% 0.18/0.38  in_max_depth:              5
% 0.18/0.38  in_min_size:               2
% 0.18/0.38  in_max_size:              31
% 0.18/0.38  in_min_vars:               0
% 0.18/0.38  in_max_vars:               6
% 0.18/0.38  in_extaxiom_count:               190
% 0.18/0.38  in_axiom_count:                    0
% 0.18/0.38  in_assumption_count:               0
% 0.18/0.38  in_goal_count:                    12
% 0.18/0.38  in_neg_goal_count:                 1
% 0.18/0.38  in_pos_goal_count:                 7
% 0.18/0.38  in_posunit_goal_count:             6
% 0.18/0.38  
% 0.18/0.38  auto guide:
% 0.18/0.38  -----------
% 0.18/0.38  {
% 0.18/0.38  "print":1,
% 0.18/0.38  "print_level": 15,
% 0.18/0.38  "max_size": 0,
% 0.18/0.38  "max_depth": 0,
% 0.18/0.38  "max_length": 0,
% 0.18/0.38  "max_dseconds": 0,
% 0.18/0.38  "runs":[
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.18/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38  {"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},
% 0.18/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.18/0.38  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.18/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.18/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.18/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.18/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.18/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.18/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.18/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.18/0.39  
% 0.18/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.18/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.18/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.18/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.18/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.18/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.18/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.18/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.18/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.18/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.18/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.18/0.39  
% 0.18/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.18/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.18/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.18/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.18/0.39  
% 0.18/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.18/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.18/0.39  
% 0.18/0.39  ]}
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  **** run 1 fork 0 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 2 fork 1 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 3 fork 2 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 4 fork 3 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 5 fork 4 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 6 fork 5 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.18/0.39  
% 0.18/0.39  **** run 8 fork 7 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.40  
% 0.18/0.40  **** run 7 fork 6 starts with strategy
% 0.18/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.44  
% 0.18/0.44  fork 3: search finished without proof.
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  result: proof found
% 0.18/0.47  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  
% 0.18/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  fof('$inc_ax76_$sk', plain, ((((tl(X1) = $sk5(X1)) & ssList($sk5(X1))) | (nil = X1)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax76'])).
% 0.18/0.47  fof('$inc_ax76', axiom, (! [U] : (ssList(U) => (~(nil = U) => (? [V] : (ssList(V) & (tl(U) = V)))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax15_$sk', plain, ((((~neq(X1,X2) | ~(X1 = X2)) & (neq(X1,X2) | (X1 = X2))) | ~ssList(X2)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax15'])).
% 0.18/0.47  fof('$inc_ax15', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (neq(U,V) <=> ~(U = V)))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('co1_$sk', plain, (((((((~neq($sk4,nil) & neq($sk2,nil)) | (~neq($sk1,nil) & (((~neq(nil,$sk4) | (~(app($sk3,X2) = X1) | (~(tl($sk4) = X2) | ~ssList(X2)))) | (($sk4 = X1) | ~ssList(X1))) & neq($sk2,nil)))) & (($sk1 = $sk3) & ($sk2 = $sk4))) & ssList($sk4)) & ssList($sk3)) & ssList($sk2)) & ssList($sk1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['co1'])).
% 0.18/0.47  fof('co1', conjecture, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (! [X] : (ssList(X) => ((~(V = X) | ~(U = W)) | (((~neq(V,nil) | (? [Y] : ((ssList(Y) & ~(X = Y)) & (? [Z] : (((ssList(Z) & (tl(X) = Z)) & (app(W,Z) = Y)) & neq(nil,X)))))) | neq(U,nil)) & (~neq(V,nil) | neq(X,nil)))))))))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax17', axiom, ssList(nil),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax28_$sk', plain, ((app(nil,X1) = X1) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax28'])).
% 0.18/0.47  fof('$inc_ax28', axiom, (! [U] : (ssList(U) => (app(nil,U) = U))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax83_$sk', plain, ((((~(nil = app(X1,X2)) | ((nil = X1) & (nil = X2))) & ((nil = app(X1,X2)) | (~(nil = X1) | ~(nil = X2)))) | ~ssList(X2)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax83'])).
% 0.18/0.47  fof('$inc_ax83', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => ((nil = app(U,V)) <=> ((nil = V) & (nil = U))))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax84_$sk', plain, ((app(X1,nil) = X1) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax84'])).
% 0.18/0.47  fof('$inc_ax84', axiom, (! [U] : (ssList(U) => (app(U,nil) = U))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax82_$sk', plain, ((((app(app(X1,X2),X3) = app(X1,app(X2,X3))) | ~ssList(X3)) | ~ssList(X2)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax82'])).
% 0.18/0.47  fof('$inc_ax82', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (app(app(U,V),W) = app(U,app(V,W))))))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax78_$sk', plain, (((cons(hd(X1),tl(X1)) = X1) | (nil = X1)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax78'])).
% 0.18/0.47  fof('$inc_ax78', axiom, (! [U] : (ssList(U) => (~(nil = U) => (cons(hd(U),tl(U)) = U)))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax18_$sk', plain, ((~(cons(X2,X1) = X1) | ~ssItem(X2)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax18'])).
% 0.18/0.47  fof('$inc_ax18', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => ~(cons(V,U) = U))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax22_$sk', plain, ((ssItem(hd(X1)) | (nil = X1)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax22'])).
% 0.18/0.47  fof('$inc_ax22', axiom, (! [U] : (ssList(U) => (~(nil = U) => ssItem(hd(U))))),
% 0.18/0.47    input). 
% 0.18/0.47  fof('$inc_ax24_$sk', plain, ((ssList(tl(X1)) | (nil = X1)) | ~ssList(X1)),
% 0.18/0.47    inference(negpush_and_skolemize,[],['$inc_ax24'])).
% 0.18/0.47  fof('$inc_ax24', axiom, (! [U] : (ssList(U) => (~(nil = U) => ssList(tl(U))))),
% 0.18/0.47    input). 
% 0.18/0.47  cnf('1', plain, (tl(X0) = $sk5(X0) | nil = X0 | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax76_$sk'])).
% 0.18/0.47  cnf('2', plain, (neq(X,Y) | X = Y | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax15_$sk'])).
% 0.18/0.47  cnf('3', plain, (neq($sk2,nil) | neq($sk2,nil)),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('4', plain, (neq($sk2,nil)),
% 0.18/0.47    inference(factorization,[],['3'])).
% 0.18/0.47  cnf('5', plain, (~neq($sk4,nil) | ~neq($sk1,nil)),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('6', plain, ($sk2 = $sk4),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('7', plain, ($sk1 = $sk3),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('8', plain, (~neq($sk2,nil) | ~neq($sk3,nil)),
% 0.18/0.47    inference(simplify,[then_simplify],['5','6','7'])).
% 0.18/0.47  cnf('9', plain, (~neq($sk3,nil)),
% 0.18/0.47    inference(resolution,[],['4','8'])).
% 0.18/0.47  cnf('10', plain, (ssList(nil)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax17'])).
% 0.18/0.47  cnf('11', plain, (ssList($sk3)),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('12', plain, ($sk3 = nil),
% 0.18/0.47    inference(resolution,[then_simplify],['2','9','10','11'])).
% 0.18/0.47  cnf('13', plain, (tl(X) = $sk5(X) | $sk3 = X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['1','12'])).
% 0.18/0.47  cnf('14', plain, (app(nil,X) = X | ~ssList(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax28_$sk'])).
% 0.18/0.47  cnf('15', plain, (app($sk3,X) = X | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[],['12','14'])).
% 0.18/0.47  cnf('16', plain, (~neq($sk4,nil) | ~neq(nil,$sk4) | app($sk3,X0) != X1 | tl($sk4) != X0 | $sk4 = X1 | ~ssList(X1) | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('17', plain, (neq($sk2,nil)),
% 0.18/0.47    inference(factorization,[],['3'])).
% 0.18/0.47  cnf('18', plain, (~neq(nil,$sk2) | app($sk3,X) != Y | tl($sk2) != X | $sk2 = Y | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(simplify,[then_simplify],['16','17','6','6','6','6'])).
% 0.18/0.47  cnf('19', plain, (~neq(nil,$sk2) | app($sk3,X) != X | tl($sk2) != X | $sk2 = X | ~ssList(X)),
% 0.18/0.47    inference(factorization,[],['18'])).
% 0.18/0.47  cnf('20', plain, (~neq(nil,$sk2) | tl($sk2) != X3 | $sk2 = X3 | ~ssList(X3)),
% 0.18/0.47    inference(resolution,[],['15','19'])).
% 0.18/0.47  cnf('21', plain, (~neq($sk3,$sk2) | tl($sk2) != X | $sk2 = X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['20','12'])).
% 0.18/0.47  cnf('22', plain, (ssList($sk2)),
% 0.18/0.47    inference(cnf_transformation,[],['co1_$sk'])).
% 0.18/0.47  cnf('23', plain, ($sk3 = $sk2 | tl($sk2) != X | $sk2 = X | ~ssList(X)),
% 0.18/0.47    inference(resolution,[then_simplify],['21','2','22','11'])).
% 0.18/0.47  cnf('24', plain, (~neq(X,Y) | X != Y | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax15_$sk'])).
% 0.18/0.47  cnf('25', plain, (neq($sk2,$sk3)),
% 0.18/0.47    inference(paramodulation,[],['12','4'])).
% 0.18/0.47  cnf('26', plain, ($sk2 != $sk3),
% 0.18/0.47    inference(resolution,[then_simplify],['24','25','11','22'])).
% 0.18/0.47  cnf('27', plain, (tl($sk2) != X | $sk2 = X | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[],['23','26'])).
% 0.18/0.47  cnf('28', plain, (~ssList(tl($sk2)) | $sk2 = tl($sk2)),
% 0.18/0.47    inference(reflexivity,[],['27'])).
% 0.18/0.47  cnf('29', plain, (nil = app(X0,X1) | nil != X1 | nil != X0 | ~ssList(X1) | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax83_$sk'])).
% 0.18/0.47  cnf('30', plain, ($sk3 = app(X,Y) | $sk3 != Y | $sk3 != X | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(simplify,[then_simplify],['29','12','12','12'])).
% 0.18/0.47  cnf('31', plain, (app(X,nil) = X | ~ssList(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax84_$sk'])).
% 0.18/0.47  cnf('32', plain, (app(X,$sk3) = X | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[],['12','31'])).
% 0.18/0.47  cnf('33', plain, (app(app(X,Y),Z) = app(X,app(Y,Z)) | ~ssList(Z) | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax82_$sk'])).
% 0.18/0.47  cnf('34', plain, (app(X,Y) = app(X,app($sk3,Y)) | ~ssList(Y) | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['32','33','11'])).
% 0.18/0.47  cnf('35', plain, (X = app($sk3,app($sk3,X)) | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['15','34','11'])).
% 0.18/0.47  cnf('36', plain, (X3 = app($sk3,$sk3) | $sk3 != X3 | ~ssList(X3)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['30','35','11'])).
% 0.18/0.47  cnf('37', plain, (X = app(X,app($sk3,$sk3)) | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['32','34','11'])).
% 0.18/0.47  cnf('38', plain, (X = app(X,$sk3) | ~ssList(X)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['30','37','11'])).
% 0.18/0.47  cnf('39', plain, ($sk3 = app($sk3,$sk3)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['38','35','11'])).
% 0.18/0.47  cnf('40', plain, (X = $sk3 | $sk3 != X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['36','39'])).
% 0.18/0.47  cnf('41', plain, ($sk3 != $sk2),
% 0.18/0.47    inference(resolution,[then_simplify],['40','26','22'])).
% 0.18/0.47  cnf('42', plain, (~ssList(tl($sk2)) | $sk2 = $sk5($sk2)),
% 0.18/0.47    inference(paramodulation,[then_simplify],['13','28','41','22'])).
% 0.18/0.47  cnf('43', plain, (~ssList(tl($sk2)) | tl($sk2) = $sk2),
% 0.18/0.47    inference(paramodulation,[then_simplify],['42','13','41','22'])).
% 0.18/0.47  cnf('44', plain, (cons(hd(X0),tl(X0)) = X0 | nil = X0 | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax78_$sk'])).
% 0.18/0.47  cnf('45', plain, (cons(hd(X),tl(X)) = X | $sk3 = X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['44','12'])).
% 0.18/0.47  cnf('46', plain, (~ssList(tl($sk2)) | cons(hd($sk2),$sk2) = $sk2),
% 0.18/0.47    inference(paramodulation,[then_simplify],['43','45','41','22'])).
% 0.18/0.47  cnf('47', plain, (cons(X,Y) != Y | ~ssList(Y) | ~ssItem(X)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax18_$sk'])).
% 0.18/0.47  cnf('48', plain, (~ssList(tl($sk2)) | ~ssItem(hd($sk2))),
% 0.18/0.47    inference(resolution,[then_simplify],['46','47','22'])).
% 0.18/0.47  cnf('49', plain, (ssItem(hd(X0)) | nil = X0 | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax22_$sk'])).
% 0.18/0.47  cnf('50', plain, (ssItem(hd(X)) | $sk3 = X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['49','12'])).
% 0.18/0.47  cnf('51', plain, (~ssList(tl($sk2))),
% 0.18/0.47    inference(resolution,[then_simplify],['48','50','41','22'])).
% 0.18/0.47  cnf('52', plain, (ssList(tl(X0)) | nil = X0 | ~ssList(X0)),
% 0.18/0.47    inference(cnf_transformation,[],['$inc_ax24_$sk'])).
% 0.18/0.47  cnf('53', plain, (ssList(tl(X)) | $sk3 = X | ~ssList(X)),
% 0.18/0.47    inference(simplify,[],['52','12'])).
% 0.18/0.47  cnf('54', plain, ($false),
% 0.18/0.47    inference(resolution,[then_simplify],['51','53','41','22'])).
% 0.18/0.47  
% 0.18/0.47  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  
% 0.18/0.47  run 8 fork 7 statistics:
% 0.18/0.47  ----------------------------------
% 0.18/0.47  this run seconds: 0.045185
% 0.18/0.47  total seconds: 0.083146
% 0.18/0.47  stat_given_used: 336
% 0.18/0.47  stat_given_used_at_endgame: 0
% 0.18/0.47  stat_given_candidates:   783
% 0.18/0.47  stat_given_candidates_at_endgame: 0
% 0.18/0.47  stat_given_candidates_h: 0
% 0.18/0.47  stat_binres_derived_cl:   800
% 0.18/0.47  stat_binres_derived_cl_h: 0
% 0.18/0.47  stat_factor_derived_cl: 248
% 0.18/0.47  stat_para_derived_cl: 2898
% 0.18/0.47  stat_tautologies_discarded: 388
% 0.18/0.47  stat_forward_subsumed: 388
% 0.18/0.47  stat_derived_cut: 1060
% 0.18/0.47  stat_derived_rewritten: 169
% 0.18/0.47  stat_weight_discarded_building: 0
% 0.18/0.47  stat_weight_discarded_cl: 0
% 0.18/0.47  stat_internlimit_discarded_cl: 0
% 0.18/0.47  stat_simplified:  169 simplified 0 derived 0 given
% 0.18/0.47  stat_kept_cl: 2346
% 0.18/0.47  stat_built_cl: 3187
% 0.18/0.47  stat_hyperres_partial_cl: 0
% 0.18/0.47  stat_made_rewriters: 4
% 0.18/0.47  stat_backward_subsumed: 0
% 0.18/0.47  stat_propagated_subsumed: 0
% 0.18/0.47  stat_clsubs_attempted:                      3423
% 0.18/0.47  stat_clsubs_fact_groundunit_found:            14
% 0.18/0.47  stat_clsubs_rule_groundunit_found:             1
% 0.18/0.47  stat_clsubs_top_meta_attempted:              84789
% 0.18/0.47  stat_clsubs_top_meta_failed:                 81366
% 0.18/0.47  stat_clsubs_top_meta_nonpref_attempted:               84789
% 0.18/0.47  stat_clsubs_top_meta_nonpref_succeeded:               32673
% 0.18/0.47  stat_clsubs_top_meta_pref_attempted:                  32673
% 0.18/0.47  stat_clsubs_top_meta_pref1_succeeded:                  6157
% 0.18/0.47  stat_clsubs_top_meta_pref2_succeeded:                  3607
% 0.18/0.47  stat_clsubs_top_meta_pref3_succeeded:                  3423
% 0.18/0.47  stat_clsubs_top_meta_pref_succeeded:                   3423
% 0.18/0.47  stat_clsubs_meta_attempted:                 9565
% 0.18/0.47  stat_clsubs_meta_failed:                    4756
% 0.18/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.18/0.47  stat_clsubs_unit_attempted:                    0
% 0.18/0.47  stat_clsubs_full_attempted:                 3423
% 0.18/0.47  stat_forwardsubs_attempted:                 2735
% 0.18/0.47  stat_lit_hash_added:                    540
% 0.18/0.47  stat_lit_hash_computed:               24214
% 0.18/0.47  stat_lit_hash_match_found:             2147
% 0.18/0.47  stat_lit_hash_match_miss:             39119
% 0.18/0.47  stat_lit_hash_cut_ok:                  1687
% 0.18/0.47  stat_lit_strong_cut_ok:                   3
% 0.18/0.47  stat_lit_hash_subsume_ok:               388
% 0.18/0.47  clqueue els 10000000 used 1
% 0.18/0.47  clactive els 10000000 used 337
% 0.18/0.47  clactivesubsume els 10000000 used 1765
% 0.18/0.47  queue_termbuf els 200000000 used 214299
% 0.18/0.47  hyper_termbuf els 100000000 used 1
% 0.18/0.47  active_termbuf els 100000000 used 12961
% 0.18/0.47  varstack els 5000 last used 1
% 0.18/0.47  given_termbuf els 10000000 last used 1
% 0.18/0.47  simplified_termbuf els 10000000 last used 1
% 0.18/0.47  derived_termbuf els 10000000 last used 31
% 0.18/0.47  wr_mallocs: 2488
% 0.18/0.47  wr_callocs: 21
% 0.18/0.47  wr_reallocs: 261
% 0.18/0.47  wr_frees: 4
% 0.18/0.47  wr_malloc_bytes: 4162686404
% 0.18/0.47  wr_calloc_bytes: 112065536
% 0.18/0.47  wr_realloc_bytes: 55208
% 0.18/0.47  wr_realloc_freebytes: 0
% 0.18/0.47  ----------------------------------
%------------------------------------------------------------------------------