TSTP Solution File: SWC230+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SWC230+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 20:38:31 EDT 2023

% Result   : Theorem 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC230+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 18:18:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.40  
% 0.20/0.40  input clause set summed statistics:
% 0.20/0.40  ----------------------------------
% 0.20/0.40  in_clause_count:                   203
% 0.20/0.40  in_rule_clause_count:              187
% 0.20/0.40  in_fact_clause_count:               16
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:             19
% 0.20/0.40  in_unit_clause_count:               19
% 0.20/0.40  in_horn_clause_count:              132
% 0.20/0.40  in_pos_clause_count:                16
% 0.20/0.40  in_neg_clause_count:                15
% 0.20/0.40  in_poseq_clause_count:              66
% 0.20/0.40  in_negeq_clause_count:              43
% 0.20/0.40  in_unitposeq_clause_count:           2
% 0.20/0.40  in_chain_clause_count:               0
% 0.20/0.40  in_min_length:             1
% 0.20/0.40  in_max_length:            10
% 0.20/0.40  in_min_depth:              1
% 0.20/0.40  in_max_depth:              5
% 0.20/0.40  in_min_size:               2
% 0.20/0.40  in_max_size:              31
% 0.20/0.40  in_min_vars:               0
% 0.20/0.40  in_max_vars:               6
% 0.20/0.40  in_extaxiom_count:               190
% 0.20/0.40  in_axiom_count:                    0
% 0.20/0.40  in_assumption_count:               0
% 0.20/0.40  in_goal_count:                    13
% 0.20/0.40  in_neg_goal_count:                 2
% 0.20/0.40  in_pos_goal_count:                 6
% 0.20/0.40  in_posunit_goal_count:             6
% 0.20/0.40  
% 0.20/0.40  auto guide:
% 0.20/0.40  -----------
% 0.20/0.40  {
% 0.20/0.40  "print":1,
% 0.20/0.40  "print_level": 15,
% 0.20/0.40  "max_size": 0,
% 0.20/0.40  "max_depth": 0,
% 0.20/0.40  "max_length": 0,
% 0.20/0.40  "max_dseconds": 0,
% 0.20/0.40  "runs":[
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.20/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.20/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.40  {"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},
% 0.20/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"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},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  fork 3: search finished without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 12 fork 3 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 2: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 1: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 0: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 4: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 6: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  fork 5: search terminated without proof.
% 0.20/0.57  
% 0.20/0.57  **** run 11 fork 2 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  **** run 10 fork 1 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  **** run 15 fork 6 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  **** run 13 fork 4 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.57  
% 0.20/0.57  **** run 9 fork 0 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.58  
% 0.20/0.58  **** run 14 fork 5 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  result: proof found
% 0.20/0.58  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.58  by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.58  
% 0.20/0.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.58  fof('$inc_ax78_$sk', plain, (((cons(hd(X1),tl(X1)) = X1) | (nil = X1)) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax78'])).
% 0.20/0.58  fof('$inc_ax78', axiom, (! [U] : (ssList(U) => (~(nil = U) => (cons(hd(U),tl(U)) = U)))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax81_$sk', plain, (((cons(X2,X1) = app(cons(X2,nil),X1)) | ~ssItem(X2)) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax81'])).
% 0.20/0.58  fof('$inc_ax81', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => (cons(V,U) = app(cons(V,nil),U)))))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax28_$sk', plain, ((app(nil,X1) = X1) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax28'])).
% 0.20/0.58  fof('$inc_ax28', axiom, (! [U] : (ssList(U) => (app(nil,U) = U))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax4_$sk', plain, (((~singletonP(X1) | ((cons($sk48(X1),nil) = X1) & ssItem($sk48(X1)))) & (singletonP(X1) | (~(cons(X2,nil) = X1) | ~ssItem(X2)))) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax4'])).
% 0.20/0.58  fof('$inc_ax4', axiom, (! [U] : (ssList(U) => (singletonP(U) <=> (? [V] : (ssItem(V) & (cons(V,nil) = U)))))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('co1_$sk', plain, (((((((((~(app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) = $sk3) | ((X1 = X2) | ~ssList(X4))) | ~ssList(X3)) | ~ssItem(X2)) | ~ssItem(X1)) & ((((((~lt(X5,$sk5(X5,X6,X7)) & (leq(X5,$sk5(X5,X6,X7)) & (memberP(X7,$sk5(X5,X6,X7)) & memberP(X6,$sk5(X5,X6,X7))))) & ssItem($sk5(X5,X6,X7))) | (~(app(app(X6,cons(X5,nil)),X7) = $sk1) | ~ssList(X7))) | ~ssList(X6)) | ~ssItem(X5)) & (~(nil = $sk1) & (($sk1 = $sk3) & ($sk2 = $sk4))))) & ssList($sk4)) & ssList($sk3)) & ssList($sk2)) & ssList($sk1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['co1'])).
% 0.20/0.58  fof('co1', conjecture, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (! [X] : (ssList(X) => ((((~(V = X) | ~(U = W)) | (nil = U)) | (? [Y] : (ssItem(Y) & (? [Z] : (ssList(Z) & (? [X1] : ((ssList(X1) & (app(app(Z,cons(Y,nil)),X1) = U)) & (! [X2] : (ssItem(X2) => (((~memberP(Z,X2) | ~memberP(X1,X2)) | ~leq(Y,X2)) | lt(Y,X2))))))))))) | (? [X3] : (ssItem(X3) & (? [X4] : (ssItem(X4) & (? [X5] : (ssList(X5) & (? [X6] : ((ssList(X6) & ~(X3 = X4)) & (app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6) = W)))))))))))))))))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax38_$sk', plain, (~memberP(nil,X1) | ~ssItem(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax38'])).
% 0.20/0.58  fof('$inc_ax38', axiom, (! [U] : (ssItem(U) => ~memberP(nil,U))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax17', axiom, ssList(nil),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax16_$sk', plain, ((ssList(cons(X2,X1)) | ~ssItem(X2)) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax16'])).
% 0.20/0.58  fof('$inc_ax16', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => ssList(cons(V,U)))))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax22_$sk', plain, ((ssItem(hd(X1)) | (nil = X1)) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax22'])).
% 0.20/0.58  fof('$inc_ax22', axiom, (! [U] : (ssList(U) => (~(nil = U) => ssItem(hd(U))))),
% 0.20/0.58    input). 
% 0.20/0.58  fof('$inc_ax24_$sk', plain, ((ssList(tl(X1)) | (nil = X1)) | ~ssList(X1)),
% 0.20/0.58    inference(negpush_and_skolemize,[],['$inc_ax24'])).
% 0.20/0.58  fof('$inc_ax24', axiom, (! [U] : (ssList(U) => (~(nil = U) => ssList(tl(U))))),
% 0.20/0.58    input). 
% 0.20/0.58  cnf('1', plain, (cons(hd(X),tl(X)) = X | nil = X | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax78_$sk'])).
% 0.20/0.58  cnf('2', plain, (cons(X,Y) = app(cons(X,nil),Y) | ~ssList(Y) | ~ssItem(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax81_$sk'])).
% 0.20/0.58  cnf('3', plain, (app(nil,X) = X | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax28_$sk'])).
% 0.20/0.58  cnf('4', plain, (cons($sk48(X),nil) = X | ~singletonP(X) | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 0.20/0.58  cnf('5', plain, (app(app(X,cons(Y,nil)),Z) != $sk1 | memberP(X,$sk5(Y,X,Z)) | ~ssList(Z) | ~ssList(X) | ~ssItem(Y)),
% 0.20/0.58    inference(cnf_transformation,[],['co1_$sk'])).
% 0.20/0.58  cnf('6', plain, (app(app(X,Y),Z) != $sk1 | memberP(X,$sk5($sk48(Y),X,Z)) | ~ssItem($sk48(Y)) | ~singletonP(Y) | ~ssList(Z) | ~ssList(X) | ~ssList(Y)),
% 0.20/0.58    inference(paramodulation,[],['4','5'])).
% 0.20/0.58  cnf('7', plain, (~memberP(nil,X) | ~ssItem(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax38_$sk'])).
% 0.20/0.58  cnf('8', plain, (ssList(nil)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax17'])).
% 0.20/0.58  cnf('9', plain, (app(app(nil,X),Y) != $sk1 | ~ssItem($sk5($sk48(X),nil,Y)) | ~ssItem($sk48(X)) | ~singletonP(X) | ~ssList(Y) | ~ssList(X)),
% 0.20/0.58    inference(resolution,[then_simplify],['6','7','8'])).
% 0.20/0.58  cnf('10', plain, (~ssItem($sk5($sk48(X),nil,Y)) | app(X,Y) != $sk1 | ~ssItem($sk48(X)) | ~singletonP(X) | ~ssList(Y) | ~ssList(X)),
% 0.20/0.58    inference(paramodulation,[],['3','9'])).
% 0.20/0.58  cnf('11', plain, (app(app(X,cons(Y,nil)),Z) != $sk1 | ssItem($sk5(Y,X,Z)) | ~ssList(Z) | ~ssList(X) | ~ssItem(Y)),
% 0.20/0.58    inference(cnf_transformation,[],['co1_$sk'])).
% 0.20/0.58  cnf('12', plain, (app(app(X,Y),Z) != $sk1 | ssItem($sk5($sk48(Y),X,Z)) | ~ssItem($sk48(Y)) | ~singletonP(Y) | ~ssList(Z) | ~ssList(X) | ~ssList(Y)),
% 0.20/0.58    inference(paramodulation,[],['4','11'])).
% 0.20/0.58  cnf('13', plain, (ssItem($sk5($sk48(X),nil,Y)) | app(X,Y) != $sk1 | ~ssItem($sk48(X)) | ~singletonP(X) | ~ssList(Y) | ~ssList(X)),
% 0.20/0.58    inference(paramodulation,[then_simplify],['3','12','8'])).
% 0.20/0.58  cnf('14', plain, (app(X,Y) != $sk1 | ~ssItem($sk48(X)) | ~singletonP(X) | ~ssList(Y) | ~ssList(X)),
% 0.20/0.58    inference(resolution,[],['10','13'])).
% 0.20/0.58  cnf('15', plain, (~ssItem($sk48(cons(X,nil))) | cons(X,Y) != $sk1 | ~singletonP(cons(X,nil)) | ~ssList(cons(X,nil)) | ~ssList(Y) | ~ssItem(X)),
% 0.20/0.58    inference(paramodulation,[],['2','14'])).
% 0.20/0.58  cnf('16', plain, (ssItem($sk48(X)) | ~singletonP(X) | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 0.20/0.58  cnf('17', plain, (cons(X,Y) != $sk1 | ~singletonP(cons(X,nil)) | ~ssList(cons(X,nil)) | ~ssList(Y) | ~ssItem(X)),
% 0.20/0.58    inference(resolution,[],['15','16'])).
% 0.20/0.58  cnf('18', plain, (cons(X,nil) != Y | ~ssList(Y) | ~ssItem(X) | singletonP(Y)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax4_$sk'])).
% 0.20/0.58  cnf('19', plain, (~ssList(cons(X,nil)) | singletonP(cons(X,nil)) | ~ssItem(X)),
% 0.20/0.58    inference(reflexivity,[],['18'])).
% 0.20/0.58  cnf('20', plain, (cons(X,Y) != $sk1 | ~ssList(cons(X,nil)) | ~ssList(Y) | ~ssItem(X)),
% 0.20/0.58    inference(resolution,[],['17','19'])).
% 0.20/0.58  cnf('21', plain, (nil != $sk1),
% 0.20/0.58    inference(cnf_transformation,[],['co1_$sk'])).
% 0.20/0.58  cnf('22', plain, (ssList($sk1)),
% 0.20/0.58    inference(cnf_transformation,[],['co1_$sk'])).
% 0.20/0.58  cnf('23', plain, (~ssList(cons(hd($sk1),nil)) | ~ssList(tl($sk1)) | ~ssItem(hd($sk1))),
% 0.20/0.58    inference(resolution,[then_simplify],['1','20','21','22'])).
% 0.20/0.58  cnf('24', plain, (ssList(cons(X,Y)) | ~ssList(Y) | ~ssItem(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax16_$sk'])).
% 0.20/0.58  cnf('25', plain, (~ssList(tl($sk1)) | ~ssItem(hd($sk1))),
% 0.20/0.58    inference(resolution,[then_simplify],['23','24','8'])).
% 0.20/0.58  cnf('26', plain, (ssItem(hd(X)) | nil = X | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax22_$sk'])).
% 0.20/0.58  cnf('27', plain, (~ssList(tl($sk1))),
% 0.20/0.58    inference(resolution,[then_simplify],['25','26','21','22'])).
% 0.20/0.58  cnf('28', plain, (ssList(tl(X)) | nil = X | ~ssList(X)),
% 0.20/0.58    inference(cnf_transformation,[],['$inc_ax24_$sk'])).
% 0.20/0.58  cnf('29', plain, ($false),
% 0.20/0.58    inference(resolution,[then_simplify],['27','28','21','22'])).
% 0.20/0.58  
% 0.20/0.58  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.58  
% 0.20/0.58  run 8 fork 7 statistics:
% 0.20/0.58  ----------------------------------
% 0.20/0.58  this run seconds: 0.066596
% 0.20/0.58  total seconds: 0.113053
% 0.20/0.58  stat_given_used: 510
% 0.20/0.58  stat_given_used_at_endgame: 0
% 0.20/0.58  stat_given_candidates:   1517
% 0.20/0.58  stat_given_candidates_at_endgame: 0
% 0.20/0.58  stat_given_candidates_h: 0
% 0.20/0.58  stat_binres_derived_cl:   491
% 0.20/0.58  stat_binres_derived_cl_h: 0
% 0.20/0.58  stat_factor_derived_cl: 432
% 0.20/0.58  stat_para_derived_cl: 2501
% 0.20/0.58  stat_tautologies_discarded: 223
% 0.20/0.58  stat_forward_subsumed: 604
% 0.20/0.58  stat_derived_cut: 766
% 0.20/0.58  stat_derived_rewritten: 13
% 0.20/0.58  stat_weight_discarded_building: 0
% 0.20/0.58  stat_weight_discarded_cl: 309
% 0.20/0.58  stat_internlimit_discarded_cl: 0
% 0.20/0.58  stat_simplified:  16 simplified 0 derived 0 given
% 0.20/0.58  stat_kept_cl: 1840
% 0.20/0.58  stat_built_cl: 3185
% 0.20/0.58  stat_hyperres_partial_cl: 0
% 0.20/0.58  stat_made_rewriters: 3
% 0.20/0.58  stat_backward_subsumed: 0
% 0.20/0.58  stat_propagated_subsumed: 0
% 0.20/0.58  stat_clsubs_attempted:                      9045
% 0.20/0.58  stat_clsubs_fact_groundunit_found:            14
% 0.20/0.58  stat_clsubs_rule_groundunit_found:             3
% 0.20/0.58  stat_clsubs_top_meta_attempted:             288481
% 0.20/0.58  stat_clsubs_top_meta_failed:                279436
% 0.20/0.58  stat_clsubs_top_meta_nonpref_attempted:              288481
% 0.20/0.58  stat_clsubs_top_meta_nonpref_succeeded:              132217
% 0.20/0.58  stat_clsubs_top_meta_pref_attempted:                 132217
% 0.20/0.58  stat_clsubs_top_meta_pref1_succeeded:                 23550
% 0.20/0.58  stat_clsubs_top_meta_pref2_succeeded:                 10179
% 0.20/0.58  stat_clsubs_top_meta_pref3_succeeded:                  9045
% 0.20/0.58  stat_clsubs_top_meta_pref_succeeded:                   9045
% 0.20/0.58  stat_clsubs_meta_attempted:                33937
% 0.20/0.58  stat_clsubs_meta_failed:                   11966
% 0.20/0.58  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.58  stat_clsubs_unit_attempted:                    0
% 0.20/0.58  stat_clsubs_full_attempted:                 9045
% 0.20/0.58  stat_forwardsubs_attempted:                 2754
% 0.20/0.58  stat_lit_hash_added:                    223
% 0.20/0.58  stat_lit_hash_computed:               30055
% 0.20/0.58  stat_lit_hash_match_found:             1617
% 0.20/0.58  stat_lit_hash_match_miss:             49129
% 0.20/0.58  stat_lit_hash_cut_ok:                   958
% 0.20/0.58  stat_lit_strong_cut_ok:                   0
% 0.20/0.58  stat_lit_hash_subsume_ok:               604
% 0.20/0.58  clqueue els 10000000 used 1
% 0.20/0.58  clactive els 10000000 used 511
% 0.20/0.58  clactivesubsume els 10000000 used 2905
% 0.20/0.58  queue_termbuf els 200000000 used 175663
% 0.20/0.58  hyper_termbuf els 100000000 used 1
% 0.20/0.58  active_termbuf els 100000000 used 32762
% 0.20/0.58  varstack els 5000 last used 1
% 0.20/0.58  given_termbuf els 10000000 last used 1
% 0.20/0.58  simplified_termbuf els 10000000 last used 1
% 0.20/0.58  derived_termbuf els 10000000 last used 31
% 0.20/0.58  wr_mallocs: 3707
% 0.20/0.58  wr_callocs: 21
% 0.20/0.58  wr_reallocs: 139
% 0.20/0.58  wr_frees: 4
% 0.20/0.58  wr_malloc_bytes: 4162724788
% 0.20/0.58  wr_calloc_bytes: 112065536
% 0.20/0.58  wr_realloc_bytes: 32112
% 0.20/0.58  wr_realloc_freebytes: 0
% 0.20/0.58  ----------------------------------
%------------------------------------------------------------------------------