TSTP Solution File: SWC029+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n004.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 20:36:45 EDT 2023

% Result   : Theorem 0.19s 0.76s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n004.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 18:40:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                   205
% 0.19/0.39  in_rule_clause_count:              189
% 0.19/0.39  in_fact_clause_count:               16
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:             27
% 0.19/0.39  in_unit_clause_count:               18
% 0.19/0.39  in_horn_clause_count:              133
% 0.19/0.39  in_pos_clause_count:                17
% 0.19/0.39  in_neg_clause_count:                14
% 0.19/0.39  in_poseq_clause_count:              71
% 0.19/0.39  in_negeq_clause_count:              40
% 0.19/0.39  in_unitposeq_clause_count:           2
% 0.19/0.39  in_chain_clause_count:               0
% 0.19/0.39  in_min_length:             1
% 0.19/0.39  in_max_length:            10
% 0.19/0.39  in_min_depth:              1
% 0.19/0.39  in_max_depth:              5
% 0.19/0.39  in_min_size:               2
% 0.19/0.39  in_max_size:              31
% 0.19/0.39  in_min_vars:               0
% 0.19/0.39  in_max_vars:               6
% 0.19/0.39  in_extaxiom_count:               190
% 0.19/0.39  in_axiom_count:                    0
% 0.19/0.39  in_assumption_count:               0
% 0.19/0.39  in_goal_count:                    15
% 0.19/0.39  in_neg_goal_count:                 1
% 0.19/0.39  in_pos_goal_count:                 7
% 0.19/0.39  in_posunit_goal_count:             6
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.19/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.19/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
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% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
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% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
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% 0.19/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
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% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.19/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.19/0.39  
% 0.19/0.39  ]}
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  **** run 1 fork 0 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 2 fork 1 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 3 fork 2 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 4 fork 3 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}{"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
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% 0.19/0.52  fork 3: search finished without proof.
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% 0.19/0.53  fork 6: search terminated without proof.
% 0.19/0.54  
% 0.19/0.54  **** run 12 fork 3 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.55  
% 0.19/0.55  **** run 11 fork 2 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.55  
% 0.19/0.55  **** run 13 fork 4 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.55  
% 0.19/0.55  **** run 14 fork 5 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.56  
% 0.19/0.56  **** run 15 fork 6 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
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% 0.19/0.67  fork 3: search terminated without proof.
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% 0.19/0.68  fork 5: search terminated without proof.
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% 0.19/0.68  fork 4: search terminated without proof.
% 0.19/0.69  
% 0.19/0.69  **** run 20 fork 3 starts with strategy
% 0.19/0.69  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.69  
% 0.19/0.69  **** run 19 fork 2 starts with strategy
% 0.19/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.69  
% 0.19/0.69  
% 0.19/0.69  fork 6: search terminated without proof.
% 0.19/0.70  
% 0.19/0.70  **** run 22 fork 5 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.70  
% 0.19/0.70  **** run 21 fork 4 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.72  
% 0.19/0.72  **** run 23 fork 6 starts with strategy
% 0.19/0.72  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.19/0.76  
% 0.19/0.76  
% 0.19/0.76  result: proof found
% 0.19/0.76  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.76  by run 23 fork 6 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.19/0.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.76  
% 0.19/0.76  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.76  fof('$inc_ax84_$sk', plain, ((app(X1,nil) = X1) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax84'])).
% 0.19/0.76  fof('$inc_ax84', axiom, (! [U] : (ssList(U) => (app(U,nil) = U))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('co1_$sk', plain, (((((((~(nil = $sk2) & (nil = $sk1)) | (~(nil = $sk1) & (nil = $sk2))) & ((~neq($sk4,nil) | ((((app($sk6,cons($sk5,nil)) = $sk3) & (app(cons($sk5,nil),$sk6) = $sk4)) & ssList($sk6)) & ssItem($sk5))) & ((~(nil = $sk4) | (nil = $sk3)) & (($sk1 = $sk3) & ($sk2 = $sk4))))) & ssList($sk4)) & ssList($sk3)) & ssList($sk2)) & ssList($sk1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['co1'])).
% 0.19/0.76  fof('co1', conjecture, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (! [W] : (ssList(W) => (! [X] : (ssList(X) => ((((~(V = X) | ~(U = W)) | (~(nil = W) & (nil = X))) | ((! [Y] : (ssItem(Y) => (! [Z] : (ssList(Z) => (~(app(cons(Y,nil),Z) = X) | ~(app(Z,cons(Y,nil)) = W)))))) & neq(X,nil))) | ((~(nil = V) | (nil = U)) & (~(nil = U) | (nil = V)))))))))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax5_$sk', plain, ((((~frontsegP(X1,X2) | ((app(X2,$sk48(X1,X2)) = X1) & ssList($sk48(X1,X2)))) & (frontsegP(X1,X2) | (~(app(X2,X3) = X1) | ~ssList(X3)))) | ~ssList(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax5'])).
% 0.19/0.76  fof('$inc_ax5', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (frontsegP(U,V) <=> (? [W] : (ssList(W) & (app(V,W) = U)))))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax46_$sk', plain, (((~frontsegP(nil,X1) | (nil = X1)) & (frontsegP(nil,X1) | ~(nil = X1))) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax46'])).
% 0.19/0.76  fof('$inc_ax46', axiom, (! [U] : (ssList(U) => (frontsegP(nil,U) <=> (nil = U)))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax41_$sk', plain, ((((X1 = X2) | (~frontsegP(X2,X1) | ~frontsegP(X1,X2))) | ~ssList(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax41'])).
% 0.19/0.76  fof('$inc_ax41', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => ((frontsegP(U,V) & frontsegP(V,U)) => (U = V)))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax45_$sk', plain, (frontsegP(X1,nil) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax45'])).
% 0.19/0.76  fof('$inc_ax45', axiom, (! [U] : (ssList(U) => frontsegP(U,nil))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax83_$sk', plain, ((((~(nil = app(X1,X2)) | ((nil = X1) & (nil = X2))) & ((nil = app(X1,X2)) | (~(nil = X1) | ~(nil = X2)))) | ~ssList(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax83'])).
% 0.19/0.76  fof('$inc_ax83', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => ((nil = app(U,V)) <=> ((nil = V) & (nil = U))))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax15_$sk', plain, ((((~neq(X1,X2) | ~(X1 = X2)) & (neq(X1,X2) | (X1 = X2))) | ~ssList(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax15'])).
% 0.19/0.76  fof('$inc_ax15', axiom, (! [U] : (ssList(U) => (! [V] : (ssList(V) => (neq(U,V) <=> ~(U = V)))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax16_$sk', plain, ((ssList(cons(X2,X1)) | ~ssItem(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax16'])).
% 0.19/0.76  fof('$inc_ax16', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => ssList(cons(V,U)))))),
% 0.19/0.76    input). 
% 0.19/0.76  fof('$inc_ax81_$sk', plain, (((cons(X2,X1) = app(cons(X2,nil),X1)) | ~ssItem(X2)) | ~ssList(X1)),
% 0.19/0.76    inference(negpush_and_skolemize,[],['$inc_ax81'])).
% 0.19/0.76  fof('$inc_ax81', axiom, (! [U] : (ssList(U) => (! [V] : (ssItem(V) => (cons(V,U) = app(cons(V,nil),U)))))),
% 0.19/0.76    input). 
% 0.19/0.76  cnf('1', plain, (app(X0,nil) = X0 | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax84_$sk'])).
% 0.19/0.76  cnf('2', plain, (nil != $sk4 | nil = $sk3),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('3', plain, (nil = $sk2 | nil = $sk1),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('4', plain, ($sk2 = $sk4),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('5', plain, ($sk1 = $sk3),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('6', plain, (nil = $sk4 | nil = $sk3),
% 0.19/0.76    inference(simplify,[then_simplify],['3','4','5'])).
% 0.19/0.76  cnf('7', plain, (nil = $sk3),
% 0.19/0.76    inference(resolution,[],['2','6'])).
% 0.19/0.76  cnf('8', plain, (app(X,$sk3) = X | ~ssList(X)),
% 0.19/0.76    inference(simplify,[],['1','7'])).
% 0.19/0.76  cnf('9', plain, (app(X,Y) != Z | frontsegP(Z,X) | ~ssList(Y) | ~ssList(X) | ~ssList(Z)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax5_$sk'])).
% 0.19/0.76  cnf('10', plain, (ssList($sk3)),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('11', plain, (X != Y | frontsegP(Y,X) | ~ssList(Y) | ~ssList(X)),
% 0.19/0.76    inference(paramodulation,[then_simplify],['8','9','10'])).
% 0.19/0.76  cnf('12', plain, (~frontsegP(nil,X0) | nil = X0 | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax46_$sk'])).
% 0.19/0.76  cnf('13', plain, (~frontsegP($sk3,X) | $sk3 = X | ~ssList(X)),
% 0.19/0.76    inference(simplify,[then_simplify],['12','7','7'])).
% 0.19/0.76  cnf('14', plain, ($sk3 = X | X != $sk3 | ~ssList(X)),
% 0.19/0.76    inference(resolution,[then_simplify],['11','13','10'])).
% 0.19/0.76  cnf('15', plain, (~frontsegP(X,Y) | ~frontsegP(Y,X) | Y = X | ~ssList(X) | ~ssList(Y)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax41_$sk'])).
% 0.19/0.76  cnf('16', plain, (nil != X0 | frontsegP(nil,X0) | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax46_$sk'])).
% 0.19/0.76  cnf('17', plain, ($sk3 != X | frontsegP($sk3,X) | ~ssList(X)),
% 0.19/0.76    inference(simplify,[then_simplify],['16','7','7'])).
% 0.19/0.76  cnf('18', plain, ($sk3 != X | ~frontsegP(X,$sk3) | X = $sk3 | ~ssList(X)),
% 0.19/0.76    inference(resolution,[then_simplify],['15','17','10'])).
% 0.19/0.76  cnf('19', plain, (frontsegP(X0,nil) | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax45_$sk'])).
% 0.19/0.76  cnf('20', plain, (frontsegP(X,$sk3) | ~ssList(X)),
% 0.19/0.76    inference(simplify,[],['19','7'])).
% 0.19/0.76  cnf('21', plain, ($sk3 != X | X = $sk3 | ~ssList(X)),
% 0.19/0.76    inference(resolution,[],['18','20'])).
% 0.19/0.76  cnf('22', plain, (~neq($sk4,nil) | app($sk6,cons($sk5,nil)) = $sk3),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('23', plain, (~neq($sk4,$sk3) | app($sk6,cons($sk5,$sk3)) = $sk3),
% 0.19/0.76    inference(simplify,[then_simplify],['22','7','7'])).
% 0.19/0.76  cnf('24', plain, (nil != app(X0,X1) | nil = X0 | ~ssList(X1) | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax83_$sk'])).
% 0.19/0.76  cnf('25', plain, ($sk3 != app(X,Y) | $sk3 = X | ~ssList(Y) | ~ssList(X)),
% 0.19/0.76    inference(simplify,[then_simplify],['24','7','7'])).
% 0.19/0.76  cnf('26', plain, (neq(X,Y) | X = Y | ~ssList(Y) | ~ssList(X)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax15_$sk'])).
% 0.19/0.76  cnf('27', plain, (~neq($sk4,nil) | ssList($sk6)),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('28', plain, (~neq($sk4,$sk3) | ssList($sk6)),
% 0.19/0.76    inference(paramodulation,[],['7','27'])).
% 0.19/0.76  cnf('29', plain, (ssList($sk4)),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('30', plain, ($sk4 = $sk3 | ssList($sk6)),
% 0.19/0.76    inference(resolution,[then_simplify],['26','28','10','29'])).
% 0.19/0.76  cnf('31', plain, (nil != $sk2 | nil != $sk1),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('32', plain, (nil != $sk4 | nil != $sk3),
% 0.19/0.76    inference(simplify,[then_simplify],['31','4','5'])).
% 0.19/0.76  cnf('33', plain, (nil = $sk3),
% 0.19/0.76    inference(resolution,[],['2','6'])).
% 0.19/0.76  cnf('34', plain, ($sk3 != $sk4),
% 0.19/0.76    inference(paramodulation,[then_simplify],['7','32','33'])).
% 0.19/0.76  cnf('35', plain, (ssList($sk6)),
% 0.19/0.76    inference(paramodulation,[],['30','34'])).
% 0.19/0.76  cnf('36', plain, (~ssList(cons($sk5,$sk3)) | ~neq($sk4,$sk3) | $sk3 = $sk6),
% 0.19/0.76    inference(paramodulation,[then_simplify],['23','25','35'])).
% 0.19/0.76  cnf('37', plain, (ssList(cons(X,Y)) | ~ssList(Y) | ~ssItem(X)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax16_$sk'])).
% 0.19/0.76  cnf('38', plain, (~neq($sk4,nil) | ssItem($sk5)),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('39', plain, (~neq($sk4,$sk3) | ssItem($sk5)),
% 0.19/0.76    inference(simplify,[],['38','7'])).
% 0.19/0.76  cnf('40', plain, ($sk4 = $sk3 | ssItem($sk5)),
% 0.19/0.76    inference(resolution,[then_simplify],['26','39','10','29'])).
% 0.19/0.76  cnf('41', plain, (ssItem($sk5)),
% 0.19/0.76    inference(paramodulation,[],['40','34'])).
% 0.19/0.76  cnf('42', plain, (~neq($sk4,$sk3) | $sk3 = $sk6),
% 0.19/0.76    inference(resolution,[then_simplify],['36','37','10','41'])).
% 0.19/0.76  cnf('43', plain, ($sk3 = $sk6 | $sk4 = $sk3),
% 0.19/0.76    inference(resolution,[then_simplify],['42','26','10','29'])).
% 0.19/0.76  cnf('44', plain, ($sk6 = $sk3 | $sk4 = $sk3),
% 0.19/0.76    inference(resolution,[then_simplify],['21','43','35'])).
% 0.19/0.76  cnf('45', plain, ($sk4 != $sk3),
% 0.19/0.76    inference(resolution,[then_simplify],['14','34','29'])).
% 0.19/0.76  cnf('46', plain, ($sk6 = X | X != $sk3 | ~ssList(X)),
% 0.19/0.76    inference(paramodulation,[then_simplify],['14','44','45'])).
% 0.19/0.76  cnf('47', plain, ($sk6 = $sk3),
% 0.19/0.76    inference(reflexivity,[then_simplify],['46','10'])).
% 0.19/0.76  cnf('48', plain, (cons(X0,X1) = app(cons(X0,nil),X1) | ~ssList(X1) | ~ssItem(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax81_$sk'])).
% 0.19/0.76  cnf('49', plain, (cons(X,Y) = app(cons(X,$sk3),Y) | ~ssList(Y) | ~ssItem(X)),
% 0.19/0.76    inference(simplify,[],['48','7'])).
% 0.19/0.76  cnf('50', plain, (~neq($sk4,nil) | app(cons($sk5,nil),$sk6) = $sk4),
% 0.19/0.76    inference(cnf_transformation,[],['co1_$sk'])).
% 0.19/0.76  cnf('51', plain, (~neq($sk4,$sk3) | app(cons($sk5,$sk3),$sk6) = $sk4),
% 0.19/0.76    inference(simplify,[then_simplify],['50','7','7'])).
% 0.19/0.76  cnf('52', plain, (~neq($sk4,$sk3) | cons($sk5,$sk6) = $sk4),
% 0.19/0.76    inference(paramodulation,[then_simplify],['49','51','35','41'])).
% 0.19/0.76  cnf('53', plain, (~neq($sk4,$sk3) | cons($sk5,$sk3) = $sk4),
% 0.19/0.76    inference(paramodulation,[],['47','52'])).
% 0.19/0.76  cnf('54', plain, (~neq($sk4,$sk3) | app($sk6,$sk4) = $sk3),
% 0.19/0.76    inference(paramodulation,[],['53','23'])).
% 0.19/0.76  cnf('55', plain, (~neq($sk4,$sk3) | app($sk3,$sk4) = $sk3),
% 0.19/0.76    inference(simplify,[],['54','47'])).
% 0.19/0.76  cnf('56', plain, (nil != app(X1,X0) | nil = X0 | ~ssList(X1) | ~ssList(X0)),
% 0.19/0.76    inference(cnf_transformation,[],['$inc_ax83_$sk'])).
% 0.19/0.76  cnf('57', plain, ($sk3 != app(X,Y) | $sk3 = Y | ~ssList(X) | ~ssList(Y)),
% 0.19/0.76    inference(simplify,[then_simplify],['56','7','7'])).
% 0.19/0.76  cnf('58', plain, ($sk3 != $sk4),
% 0.19/0.76    inference(paramodulation,[then_simplify],['7','32','33'])).
% 0.19/0.76  cnf('59', plain, (~neq($sk4,$sk3)),
% 0.19/0.76    inference(paramodulation,[then_simplify],['55','57','58','10','29'])).
% 0.19/0.76  cnf('60', plain, ($false),
% 0.19/0.76    inference(resolution,[then_simplify],['59','26','45','10','29'])).
% 0.19/0.76  
% 0.19/0.76  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.76  
% 0.19/0.76  run 23 fork 6 statistics:
% 0.19/0.76  ----------------------------------
% 0.19/0.76  this run seconds: 0.015316
% 0.19/0.76  total seconds: 0.363643
% 0.19/0.76  stat_given_used: 198
% 0.19/0.76  stat_given_used_at_endgame: 0
% 0.19/0.76  stat_given_candidates:   335
% 0.19/0.76  stat_given_candidates_at_endgame: 0
% 0.19/0.76  stat_given_candidates_h: 0
% 0.19/0.76  stat_binres_derived_cl:   279
% 0.19/0.76  stat_binres_derived_cl_h: 0
% 0.19/0.76  stat_factor_derived_cl: 78
% 0.19/0.76  stat_para_derived_cl: 862
% 0.19/0.76  stat_tautologies_discarded: 67
% 0.19/0.76  stat_forward_subsumed: 334
% 0.19/0.76  stat_derived_cut: 235
% 0.19/0.76  stat_derived_rewritten: 59
% 0.19/0.76  stat_weight_discarded_building: 0
% 0.19/0.76  stat_weight_discarded_cl: 0
% 0.19/0.76  stat_internlimit_discarded_cl: 0
% 0.19/0.76  stat_simplified:  60 simplified 0 derived 0 given
% 0.19/0.76  stat_kept_cl: 633
% 0.19/0.76  stat_built_cl: 1089
% 0.19/0.76  stat_hyperres_partial_cl: 0
% 0.19/0.76  stat_made_rewriters: 4
% 0.19/0.76  stat_backward_subsumed: 0
% 0.19/0.76  stat_propagated_subsumed: 0
% 0.19/0.76  stat_clsubs_attempted:                       508
% 0.19/0.76  stat_clsubs_fact_groundunit_found:            16
% 0.19/0.76  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.76  stat_clsubs_top_meta_attempted:              21007
% 0.19/0.76  stat_clsubs_top_meta_failed:                 20499
% 0.19/0.76  stat_clsubs_top_meta_nonpref_attempted:               21007
% 0.19/0.76  stat_clsubs_top_meta_nonpref_succeeded:                6161
% 0.19/0.76  stat_clsubs_top_meta_pref_attempted:                   6161
% 0.19/0.76  stat_clsubs_top_meta_pref1_succeeded:                   919
% 0.19/0.76  stat_clsubs_top_meta_pref2_succeeded:                   532
% 0.19/0.76  stat_clsubs_top_meta_pref3_succeeded:                   508
% 0.19/0.76  stat_clsubs_top_meta_pref_succeeded:                    508
% 0.19/0.76  stat_clsubs_meta_attempted:                 1090
% 0.19/0.76  stat_clsubs_meta_failed:                     500
% 0.19/0.76  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.76  stat_clsubs_unit_attempted:                    0
% 0.19/0.76  stat_clsubs_full_attempted:                  508
% 0.19/0.76  stat_forwardsubs_attempted:                  968
% 0.19/0.76  stat_lit_hash_added:                    347
% 0.19/0.76  stat_lit_hash_computed:                5734
% 0.19/0.76  stat_lit_hash_match_found:              807
% 0.19/0.76  stat_lit_hash_match_miss:              8287
% 0.19/0.76  stat_lit_hash_cut_ok:                   439
% 0.19/0.76  stat_lit_strong_cut_ok:                   0
% 0.19/0.76  stat_lit_hash_subsume_ok:               334
% 0.19/0.76  clqueue els 10000000 used 1
% 0.19/0.76  clactive els 10000000 used 199
% 0.19/0.76  clactivesubsume els 10000000 used 937
% 0.19/0.76  queue_termbuf els 200000000 used 42959
% 0.19/0.76  hyper_termbuf els 100000000 used 1
% 0.19/0.76  active_termbuf els 100000000 used 5515
% 0.19/0.76  varstack els 5000 last used 1
% 0.19/0.76  given_termbuf els 10000000 last used 1
% 0.19/0.76  simplified_termbuf els 10000000 last used 1
% 0.19/0.76  derived_termbuf els 10000000 last used 40
% 0.19/0.76  wr_mallocs: 1534
% 0.19/0.76  wr_callocs: 21
% 0.19/0.76  wr_reallocs: 110
% 0.19/0.76  wr_frees: 4
% 0.19/0.76  wr_malloc_bytes: 4162648148
% 0.19/0.76  wr_calloc_bytes: 112065536
% 0.19/0.76  wr_realloc_bytes: 26992
% 0.19/0.76  wr_realloc_freebytes: 0
% 0.19/0.76  ----------------------------------
%------------------------------------------------------------------------------