TSTP Solution File: SWC407+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n016.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 20:40:03 EDT 2023

% Result   : Theorem 1.37s 0.61s
% Output   : CNFRefutation 1.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 15:58:14 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                   205
% 0.21/0.40  in_rule_clause_count:              187
% 0.21/0.40  in_fact_clause_count:               18
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:             27
% 0.21/0.40  in_unit_clause_count:               21
% 0.21/0.40  in_horn_clause_count:              128
% 0.21/0.40  in_pos_clause_count:                24
% 0.21/0.40  in_neg_clause_count:                14
% 0.21/0.40  in_poseq_clause_count:              71
% 0.21/0.40  in_negeq_clause_count:              36
% 0.21/0.40  in_unitposeq_clause_count:           2
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:            10
% 0.21/0.40  in_min_depth:              1
% 0.21/0.40  in_max_depth:              5
% 0.21/0.40  in_min_size:               2
% 0.21/0.40  in_max_size:              31
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               6
% 0.21/0.40  in_extaxiom_count:               190
% 0.21/0.40  in_axiom_count:                    0
% 0.21/0.40  in_assumption_count:               0
% 0.21/0.40  in_goal_count:                    15
% 0.21/0.40  in_neg_goal_count:                 1
% 0.21/0.40  in_pos_goal_count:                14
% 0.21/0.40  in_posunit_goal_count:             8
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40  {"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},
% 0.21/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.21/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"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},
% 0.21/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40  {"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},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.21/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"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},
% 0.21/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"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},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 6 fork 5 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 7 fork 6 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.41  
% 0.21/0.41  **** run 8 fork 7 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 1: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 4: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 5: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 6: search terminated without proof.
% 0.21/0.56  
% 0.21/0.56  **** run 10 fork 1 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 14 fork 5 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 13 fork 4 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.21/0.57  
% 0.21/0.57  **** run 15 fork 6 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  
% 0.21/0.57  fork 7: search terminated without proof.
% 0.21/0.59  
% 0.21/0.59  **** run 16 fork 7 starts with strategy
% 0.21/0.59  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 1.37/0.61  
% 1.37/0.61  
% 1.37/0.61  result: proof found
% 1.37/0.61  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.37/0.61  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 1.37/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.37/0.61  
% 1.37/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.37/0.61  fof('co1_$sk', plain, ((((((((nil = $sk3) & (nil = $sk4)) | ((memberP($sk4,$sk5) & (cons($sk5,nil) = $sk3)) & ssItem($sk5))) & (((~memberP($sk2,$sk6) & memberP($sk1,$sk6)) & ssItem($sk6)) & (($sk1 = $sk3) & ($sk2 = $sk4)))) & ssList($sk4)) & ssList($sk3)) & ssList($sk2)) & ssList($sk1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['co1'])).
% 1.37/0.61  fof('co1', conjecture, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (! [X] : (ssList(X) => (((~(V = X) | ~(U = W)) | (! [Y] : (ssItem(Y) => (~memberP(U,Y) | memberP(V,Y))))) | ((! [Z] : (ssItem(Z) => (~(cons(Z,nil) = W) | ~memberP(X,Z)))) & (~(nil = X) | ~(nil = W)))))))))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax37_$sk', plain, (((((~memberP(cons(X2,X3),X1) | (memberP(X3,X1) | (X1 = X2))) & (memberP(cons(X2,X3),X1) | (~memberP(X3,X1) & ~(X1 = X2)))) | ~ssList(X3)) | ~ssItem(X2)) | ~ssItem(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax37'])).
% 1.37/0.61  fof('$inc_ax37', axiom, (! [U] : (ssItem(U) => (! [V] : (ssItem(V) => (! [W] : (ssList(W) => (memberP(cons(V,W),U) <=> ((U = V) | memberP(W,U))))))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax83_$sk', plain, ((((~(nil = app(X1,X2)) | ((nil = X1) & (nil = X2))) & ((nil = app(X1,X2)) | (~(nil = X1) | ~(nil = X2)))) | ~ssList(X2)) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax83'])).
% 1.37/0.61  fof('$inc_ax83', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => ((nil = app(U,V)) <=> ((nil = V) & (nil = U))))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax17', axiom, ssList(nil),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax84_$sk', plain, ((app(X1,nil) = X1) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax84'])).
% 1.37/0.61  fof('$inc_ax84', axiom, (! [U] : (ssList(U) => (app(U,nil) = U))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax82_$sk', plain, ((((app(app(X1,X2),X3) = app(X1,app(X2,X3))) | ~ssList(X3)) | ~ssList(X2)) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax82'])).
% 1.37/0.61  fof('$inc_ax82', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (app(app(U,V),W) = app(U,app(V,W))))))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax4_$sk', plain, (((~singletonP(X1) | ((cons($sk49(X1),nil) = X1) & ssItem($sk49(X1)))) & (singletonP(X1) | (~(cons(X2,nil) = X1) | ~ssItem(X2)))) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax4'])).
% 1.37/0.61  fof('$inc_ax4', axiom, (! [U] : (ssList(U) => (singletonP(U) <=> (? [V] : (ssItem(V) & (cons(V,nil) = U)))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax21_$sk', plain, ((~(nil = cons(X2,X1)) | ~ssItem(X2)) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax21'])).
% 1.37/0.61  fof('$inc_ax21', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => ~(nil = cons(V,U)))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax39_$sk', plain, ~singletonP(nil),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax39'])).
% 1.37/0.61  fof('$inc_ax39', axiom, ~singletonP(nil),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax26_$sk', plain, ((ssList(app(X1,X2)) | ~ssList(X2)) | ~ssList(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax26'])).
% 1.37/0.61  fof('$inc_ax26', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => ssList(app(U,V)))))),
% 1.37/0.61    input). 
% 1.37/0.61  fof('$inc_ax38_$sk', plain, (~memberP(nil,X1) | ~ssItem(X1)),
% 1.37/0.61    inference(negpush_and_skolemize,[],['$inc_ax38'])).
% 1.37/0.61  fof('$inc_ax38', axiom, (! [U] : (ssItem(U) => ~memberP(nil,U))),
% 1.37/0.61    input). 
% 1.37/0.61  cnf('1', plain, (cons($sk5,nil) = $sk3 | nil = $sk3),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('2', plain, ($sk1 = $sk3),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('3', plain, (cons($sk5,nil) = $sk1 | nil = $sk1),
% 1.37/0.61    inference(simplify,[then_simplify],['1','2','2'])).
% 1.37/0.61  cnf('4', plain, (~memberP(cons(X,Y),Z) | memberP(Y,Z) | Z = X | ~ssList(Y) | ~ssItem(Z) | ~ssItem(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax37_$sk'])).
% 1.37/0.61  cnf('5', plain, (nil = app(X,Y) | nil != Y | nil != X | ~ssList(Y) | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax83_$sk'])).
% 1.37/0.61  cnf('6', plain, (ssList(nil)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax17'])).
% 1.37/0.61  cnf('7', plain, (nil = app(X,nil) | nil != X | ~ssList(X)),
% 1.37/0.61    inference(reflexivity,[then_simplify],['5','6'])).
% 1.37/0.61  cnf('8', plain, (app(X,nil) = X | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax84_$sk'])).
% 1.37/0.61  cnf('9', plain, (nil = app(X,X) | nil != X | ~ssList(X)),
% 1.37/0.61    inference(factorization,[],['5'])).
% 1.37/0.61  cnf('10', plain, (nil = app(nil,nil)),
% 1.37/0.61    inference(reflexivity,[then_simplify],['9','6'])).
% 1.37/0.61  cnf('11', plain, (app(app(X,Y),Z) = app(X,app(Y,Z)) | ~ssList(Z) | ~ssList(Y) | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax82_$sk'])).
% 1.37/0.61  cnf('12', plain, (app(app(X,nil),nil) = app(X,nil) | ~ssList(X)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['10','11','6'])).
% 1.37/0.61  cnf('13', plain, (app(app(X,nil),nil) = X | ~ssList(X)),
% 1.37/0.61    inference(paramodulation,[],['8','12'])).
% 1.37/0.61  cnf('14', plain, (X = app(X,nil) | ~ssList(X)),
% 1.37/0.61    inference(paramodulation,[],['13','12'])).
% 1.37/0.61  cnf('15', plain, (cons(X,nil) != Y | ~ssList(Y) | ~ssItem(X) | singletonP(Y)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 1.37/0.61  cnf('16', plain, (nil = $sk4 | ssItem($sk5)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('17', plain, ($sk2 = $sk4),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('18', plain, (nil = $sk2 | ssItem($sk5)),
% 1.37/0.61    inference(simplify,[],['16','17'])).
% 1.37/0.61  cnf('19', plain, (nil = $sk3 | ssItem($sk5)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('20', plain, (nil = $sk1 | ssItem($sk5)),
% 1.37/0.61    inference(simplify,[],['19','2'])).
% 1.37/0.61  cnf('21', plain, ($sk2 = $sk1 | ssItem($sk5)),
% 1.37/0.61    inference(paramodulation,[],['18','20'])).
% 1.37/0.61  cnf('22', plain, (~memberP($sk2,$sk6)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('23', plain, (memberP($sk1,$sk6)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('24', plain, (ssItem($sk5)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['21','22','23'])).
% 1.37/0.61  cnf('25', plain, (nil = $sk1 | $sk1 != X | ~ssList(X) | singletonP(X)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['3','15','24'])).
% 1.37/0.61  cnf('26', plain, (cons($sk49(X),nil) = X | ~singletonP(X) | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 1.37/0.61  cnf('27', plain, (nil != cons(X,Y) | ~ssList(Y) | ~ssItem(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax21_$sk'])).
% 1.37/0.61  cnf('28', plain, (~ssItem($sk49(X)) | nil != X | ~singletonP(X) | ~ssList(X)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['26','27','6'])).
% 1.37/0.61  cnf('29', plain, (ssItem($sk49(X)) | ~singletonP(X) | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 1.37/0.61  cnf('30', plain, (nil != X | ~singletonP(X) | ~ssList(X)),
% 1.37/0.61    inference(resolution,[],['28','29'])).
% 1.37/0.61  cnf('31', plain, (ssList($sk1)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('32', plain, (nil = $sk1 | singletonP($sk1)),
% 1.37/0.61    inference(resolution,[then_simplify],['15','3','31','24'])).
% 1.37/0.61  cnf('33', plain, (cons($sk5,nil) = $sk3 | nil = $sk4),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('34', plain, (cons($sk5,nil) = $sk1 | nil = $sk2),
% 1.37/0.61    inference(simplify,[then_simplify],['33','2','17'])).
% 1.37/0.61  cnf('35', plain, (nil = $sk2 | singletonP($sk1)),
% 1.37/0.61    inference(resolution,[then_simplify],['15','34','31','24'])).
% 1.37/0.61  cnf('36', plain, ($sk1 = $sk2 | singletonP($sk1)),
% 1.37/0.61    inference(paramodulation,[],['32','35'])).
% 1.37/0.61  cnf('37', plain, (singletonP($sk1)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['36','22','23'])).
% 1.37/0.61  cnf('38', plain, ($sk1 != X | ~ssList(X) | singletonP(X)),
% 1.37/0.61    inference(resolution,[then_simplify],['25','30','37','31'])).
% 1.37/0.61  cnf('39', plain, (~ssList(app($sk1,nil)) | singletonP(app($sk1,nil))),
% 1.37/0.61    inference(resolution,[then_simplify],['14','38','31'])).
% 1.37/0.61  cnf('40', plain, (~singletonP(nil)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax39_$sk'])).
% 1.37/0.61  cnf('41', plain, (~ssList(app($sk1,nil)) | nil != $sk1),
% 1.37/0.61    inference(paramodulation,[then_simplify],['7','39','31','40'])).
% 1.37/0.61  cnf('42', plain, (ssList(app(X,Y)) | ~ssList(Y) | ~ssList(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax26_$sk'])).
% 1.37/0.61  cnf('43', plain, (nil != $sk1),
% 1.37/0.61    inference(resolution,[then_simplify],['41','42','6','31'])).
% 1.37/0.61  cnf('44', plain, (~memberP($sk1,X) | memberP(nil,X) | X = $sk5 | ~ssItem(X)),
% 1.37/0.61    inference(paramodulation,[then_simplify],['3','4','43','6','24'])).
% 1.37/0.61  cnf('45', plain, (memberP($sk1,$sk6)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('46', plain, (ssItem($sk6)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('47', plain, (memberP(nil,$sk6) | $sk6 = $sk5),
% 1.37/0.61    inference(resolution,[then_simplify],['44','45','46'])).
% 1.37/0.61  cnf('48', plain, (~memberP(nil,X) | ~ssItem(X)),
% 1.37/0.61    inference(cnf_transformation,[],['$inc_ax38_$sk'])).
% 1.37/0.61  cnf('49', plain, ($sk6 = $sk5),
% 1.37/0.61    inference(resolution,[then_simplify],['47','48','46'])).
% 1.37/0.61  cnf('50', plain, (nil = $sk3 | memberP($sk4,$sk5)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('51', plain, (nil = $sk1 | memberP($sk2,$sk5)),
% 1.37/0.61    inference(simplify,[then_simplify],['50','2','17'])).
% 1.37/0.61  cnf('52', plain, (~memberP($sk2,$sk6)),
% 1.37/0.61    inference(cnf_transformation,[],['co1_$sk'])).
% 1.37/0.61  cnf('53', plain, ($false),
% 1.37/0.61    inference(paramodulation,[then_simplify],['49','51','43','52'])).
% 1.37/0.61  
% 1.37/0.61  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.37/0.61  
% 1.37/0.61  run 1 fork 0 statistics:
% 1.37/0.61  ----------------------------------
% 1.37/0.61  this run seconds: 0.076964
% 1.37/0.61  total seconds: 0.114294
% 1.37/0.61  stat_given_used: 598
% 1.37/0.61  stat_given_used_at_endgame: 0
% 1.37/0.61  stat_given_candidates:   2047
% 1.37/0.61  stat_given_candidates_at_endgame: 0
% 1.37/0.61  stat_given_candidates_h: 0
% 1.37/0.61  stat_binres_derived_cl:   1737
% 1.37/0.61  stat_binres_derived_cl_h: 0
% 1.37/0.61  stat_factor_derived_cl: 330
% 1.37/0.61  stat_para_derived_cl: 9175
% 1.37/0.61  stat_tautologies_discarded: 321
% 1.37/0.61  stat_forward_subsumed: 5006
% 1.37/0.61  stat_derived_cut: 1451
% 1.37/0.61  stat_derived_rewritten: 66
% 1.37/0.61  stat_weight_discarded_building: 0
% 1.37/0.61  stat_weight_discarded_cl: 525
% 1.37/0.61  stat_internlimit_discarded_cl: 0
% 1.37/0.61  stat_simplified:  73 simplified 0 derived 0 given
% 1.37/0.61  stat_kept_cl: 4358
% 1.37/0.61  stat_built_cl: 6152
% 1.37/0.61  stat_hyperres_partial_cl: 0
% 1.37/0.61  stat_made_rewriters: 11
% 1.37/0.61  stat_backward_subsumed: 0
% 1.37/0.61  stat_propagated_subsumed: 0
% 1.37/0.61  stat_clsubs_attempted:                      4420
% 1.37/0.61  stat_clsubs_fact_groundunit_found:            21
% 1.37/0.61  stat_clsubs_rule_groundunit_found:             3
% 1.37/0.61  stat_clsubs_top_meta_attempted:             322399
% 1.37/0.61  stat_clsubs_top_meta_failed:                317979
% 1.37/0.61  stat_clsubs_top_meta_nonpref_attempted:              322399
% 1.37/0.61  stat_clsubs_top_meta_nonpref_succeeded:               79008
% 1.37/0.61  stat_clsubs_top_meta_pref_attempted:                  79008
% 1.37/0.61  stat_clsubs_top_meta_pref1_succeeded:                  9510
% 1.37/0.61  stat_clsubs_top_meta_pref2_succeeded:                  4630
% 1.37/0.61  stat_clsubs_top_meta_pref3_succeeded:                  4420
% 1.37/0.61  stat_clsubs_top_meta_pref_succeeded:                   4420
% 1.37/0.61  stat_clsubs_meta_attempted:                 9885
% 1.37/0.61  stat_clsubs_meta_failed:                    4300
% 1.37/0.61  stat_clsubs_predsymbs_attempted:               0
% 1.37/0.61  stat_clsubs_unit_attempted:                    0
% 1.37/0.61  stat_clsubs_full_attempted:                 4420
% 1.37/0.61  stat_forwardsubs_attempted:                 9890
% 1.37/0.61  stat_lit_hash_added:                   1589
% 1.37/0.61  stat_lit_hash_computed:               47121
% 1.37/0.61  stat_lit_hash_match_found:             8580
% 1.37/0.61  stat_lit_hash_match_miss:             68043
% 1.37/0.61  stat_lit_hash_cut_ok:                  2881
% 1.37/0.61  stat_lit_strong_cut_ok:                   1
% 1.37/0.61  stat_lit_hash_subsume_ok:              5006
% 1.37/0.61  clqueue els 10000000 used 1
% 1.37/0.61  clactive els 10000000 used 599
% 1.37/0.61  clactivesubsume els 10000000 used 3283
% 1.37/0.61  queue_termbuf els 200000000 used 317971
% 1.37/0.61  hyper_termbuf els 100000000 used 1
% 1.37/0.61  active_termbuf els 100000000 used 20050
% 1.37/0.61  varstack els 5000 last used 1
% 1.37/0.61  given_termbuf els 10000000 last used 1
% 1.37/0.61  simplified_termbuf els 10000000 last used 1
% 1.37/0.61  derived_termbuf els 10000000 last used 33
% 1.37/0.61  wr_mallocs: 3999
% 1.37/0.61  wr_callocs: 21
% 1.37/0.61  wr_reallocs: 539
% 1.37/0.61  wr_frees: 4
% 1.37/0.61  wr_malloc_bytes: 4162735412
% 1.37/0.61  wr_calloc_bytes: 112065536
% 1.37/0.61  wr_realloc_bytes: 146720
% 1.37/0.61  wr_realloc_freebytes: 0
% 1.37/0.61  ----------------------------------
%------------------------------------------------------------------------------