TSTP Solution File: SET665+3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET665+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n002.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 15:03:29 EDT 2023

% Result   : Theorem 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET665+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n002.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 : Sat Aug 26 10:30:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    63
% 0.19/0.38  in_rule_clause_count:               61
% 0.19/0.38  in_fact_clause_count:                2
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              3
% 0.19/0.38  in_unit_clause_count:                4
% 0.19/0.38  in_horn_clause_count:               49
% 0.19/0.38  in_pos_clause_count:                 3
% 0.19/0.38  in_neg_clause_count:                 3
% 0.19/0.38  in_poseq_clause_count:               4
% 0.19/0.38  in_negeq_clause_count:               4
% 0.19/0.38  in_unitposeq_clause_count:           0
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             9
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              3
% 0.19/0.38  in_min_size:               3
% 0.19/0.38  in_max_size:              31
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               5
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                   61
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     2
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 1
% 0.19/0.38  in_posunit_goal_count:             1
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.38  {"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},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"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},
% 0.19/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"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":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 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  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "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":1250},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":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":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 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  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 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":["unit"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 2 fork 1 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 3 fork 2 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 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":1}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 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 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","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}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.43  
% 0.19/0.43  fork 3: search finished without proof.
% 0.19/0.46  
% 0.19/0.46  **** run 12 fork 3 starts with strategy
% 0.19/0.46  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.51  
% 0.19/0.51  fork 0: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 4: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 1: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  fork 2: search finished without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 13 fork 4 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.53  
% 0.19/0.53  **** run 9 fork 0 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 10 fork 1 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit"],"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":["negative_pref"],"query_preference":0}
% 0.19/0.57  
% 0.19/0.57  fork 3: search finished without proof.
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  result: proof found
% 0.19/0.57  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.57  by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.57  
% 0.19/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.57  fof('p3_$sk', plain, ((((((~member(ordered_pair(X1,X2),cross_product(X3,X4)) | (member(X2,X4) & member(X1,X3))) & (member(ordered_pair(X1,X2),cross_product(X3,X4)) | (~member(X2,X4) | ~member(X1,X3)))) | ~ilf_type(X4,set_type)) | ~ilf_type(X3,set_type)) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p3'])).
% 0.19/0.57  fof('p3', axiom, (! [B] : (ilf_type(B,set_type) => (! [C] : (ilf_type(C,set_type) => (! [D] : (ilf_type(D,set_type) => (! [E] : (ilf_type(E,set_type) => (member(ordered_pair(B,C),cross_product(D,E)) <=> (member(B,D) & member(C,E))))))))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p27_$sk', plain, ilf_type(X1,set_type),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p27'])).
% 0.19/0.57  fof('p27', axiom, (! [B] : ilf_type(B,set_type)),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p1_$sk', plain, ((((~subset(X1,X2) | (((member(ordered_pair(X3,X4),X2) | ~member(ordered_pair(X3,X4),X1)) | ~ilf_type(X4,set_type)) | ~ilf_type(X3,set_type))) & (subset(X1,X2) | (((~member(ordered_pair($sk14(X1,X2),$sk15(X1,X2)),X2) & member(ordered_pair($sk14(X1,X2),$sk15(X1,X2)),X1)) & ilf_type($sk15(X1,X2),set_type)) & ilf_type($sk14(X1,X2),set_type)))) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,binary_relation_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p1'])).
% 0.19/0.57  fof('p1', axiom, (! [B] : (ilf_type(B,binary_relation_type) => (! [C] : (ilf_type(C,binary_relation_type) => (subset(B,C) <=> (! [D] : (ilf_type(D,set_type) => (! [E] : (ilf_type(E,set_type) => (member(ordered_pair(D,E),B) => member(ordered_pair(D,E),C))))))))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('prove_relset_1_28_$sk', plain, (~subset(identity_relation_of($sk1),cross_product($sk1,$sk1)) & ilf_type($sk1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['prove_relset_1_28'])).
% 0.19/0.57  fof('prove_relset_1_28', conjecture, (! [B] : (ilf_type(B,set_type) => subset(identity_relation_of(B),cross_product(B,B)))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p13_$sk', plain, ((((ilf_type(X3,subset_type(cross_product(X1,X2))) | ~ilf_type(X3,relation_type(X1,X2))) & (ilf_type(X4,relation_type(X1,X2)) | ~ilf_type(X4,subset_type(cross_product(X1,X2))))) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p13'])).
% 0.19/0.57  fof('p13', axiom, (! [B] : (ilf_type(B,set_type) => (! [C] : (ilf_type(C,set_type) => ((! [D] : (ilf_type(D,subset_type(cross_product(B,C))) => ilf_type(D,relation_type(B,C)))) & (! [E] : (ilf_type(E,relation_type(B,C)) => ilf_type(E,subset_type(cross_product(B,C)))))))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p4_$sk', plain, ((ilf_type(cross_product(X1,X2),relation_type(X1,X2)) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p4'])).
% 0.19/0.57  fof('p4', axiom, (! [B] : (ilf_type(B,set_type) => (! [C] : (ilf_type(C,set_type) => ilf_type(cross_product(B,C),relation_type(B,C)))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p20_$sk', plain, (((relation_like(X3) | ~ilf_type(X3,subset_type(cross_product(X1,X2)))) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p20'])).
% 0.19/0.57  fof('p20', axiom, (! [B] : (ilf_type(B,set_type) => (! [C] : (ilf_type(C,set_type) => (! [D] : (ilf_type(D,subset_type(cross_product(B,C))) => relation_like(D))))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p11_$sk', plain, (((~ilf_type(X1,binary_relation_type) | (ilf_type(X1,set_type) & relation_like(X1))) & (ilf_type(X1,binary_relation_type) | (~ilf_type(X1,set_type) | ~relation_like(X1)))) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p11'])).
% 0.19/0.57  fof('p11', axiom, (! [B] : (ilf_type(B,set_type) => (ilf_type(B,binary_relation_type) <=> (relation_like(B) & ilf_type(B,set_type))))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p8_$sk', plain, (ilf_type(identity_relation_of(X1),binary_relation_type) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p8'])).
% 0.19/0.57  fof('p8', axiom, (! [B] : (ilf_type(B,set_type) => ilf_type(identity_relation_of(B),binary_relation_type))),
% 0.19/0.57    input). 
% 0.19/0.57  fof('p2_$sk', plain, (((((~member(ordered_pair(X2,X3),identity_relation_of(X1)) | ((X2 = X3) & member(X2,X1))) & (member(ordered_pair(X2,X3),identity_relation_of(X1)) | (~(X2 = X3) | ~member(X2,X1)))) | ~ilf_type(X3,set_type)) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)),
% 0.19/0.57    inference(negpush_and_skolemize,[],['p2'])).
% 0.19/0.57  fof('p2', axiom, (! [B] : (ilf_type(B,set_type) => (! [C] : (ilf_type(C,set_type) => (! [D] : (ilf_type(D,set_type) => (member(ordered_pair(C,D),identity_relation_of(B)) <=> (member(C,B) & (C = D))))))))),
% 0.19/0.57    input). 
% 0.19/0.57  cnf('1', plain, (member(ordered_pair(X0,X1),cross_product(X2,X3)) | ~ilf_type(X3,set_type) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type) | ~member(X1,X3) | ~member(X0,X2)),
% 0.19/0.57    inference(cnf_transformation,[],['p3_$sk'])).
% 0.19/0.57  cnf('2', plain, (ilf_type(X0,set_type)),
% 0.19/0.57    inference(cnf_transformation,[],['p27_$sk'])).
% 0.19/0.57  cnf('3', plain, (member(ordered_pair(X,Y),cross_product(Z,U)) | ~ilf_type(U,set_type) | ~ilf_type(Z,set_type) | ~ilf_type(Y,set_type) | ~member(Y,U) | ~member(X,Z)),
% 0.19/0.57    inference(simplify,[],['1','2'])).
% 0.19/0.57  cnf('4', plain, (member(ordered_pair(X,X),cross_product(Y,Y)) | ~member(X,Y)),
% 0.19/0.57    inference(factorization,[then_simplify],['3','2','2'])).
% 0.19/0.57  cnf('5', plain, (member(ordered_pair($sk14(X,Y),$sk15(X,Y)),X) | ~ilf_type(Y,binary_relation_type) | ~ilf_type(X,binary_relation_type) | subset(X,Y)),
% 0.19/0.57    inference(cnf_transformation,[],['p1_$sk'])).
% 0.19/0.57  cnf('6', plain, (~subset(identity_relation_of($sk1),cross_product($sk1,$sk1))),
% 0.19/0.57    inference(cnf_transformation,[],['prove_relset_1_28_$sk'])).
% 0.19/0.57  cnf('7', plain, (ilf_type(X,subset_type(cross_product(Y,Z))) | ~ilf_type(X,relation_type(Y,Z)) | ~ilf_type(Z,set_type) | ~ilf_type(Y,set_type)),
% 0.19/0.57    inference(cnf_transformation,[],['p13_$sk'])).
% 0.19/0.57  cnf('8', plain, (ilf_type(cross_product(X0,X1),relation_type(X0,X1)) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)),
% 0.19/0.57    inference(cnf_transformation,[],['p4_$sk'])).
% 0.19/0.57  cnf('9', plain, (ilf_type(cross_product(X,Y),relation_type(X,Y)) | ~ilf_type(Y,set_type)),
% 0.19/0.57    inference(simplify,[],['8','2'])).
% 0.19/0.57  cnf('10', plain, (ilf_type(X,set_type)),
% 0.19/0.57    inference(cnf_transformation,[],['p27_$sk'])).
% 0.19/0.57  cnf('11', plain, (ilf_type(cross_product(X,Y),relation_type(X,Y))),
% 0.19/0.57    inference(resolution,[],['9','10'])).
% 0.19/0.57  cnf('12', plain, (ilf_type(cross_product(X,Y),subset_type(cross_product(X,Y)))),
% 0.19/0.57    inference(resolution,[then_simplify],['7','11','2','2'])).
% 0.19/0.57  cnf('13', plain, (~ilf_type(X,subset_type(cross_product(Y,Z))) | ~ilf_type(Z,set_type) | ~ilf_type(Y,set_type) | relation_like(X)),
% 0.19/0.57    inference(cnf_transformation,[],['p20_$sk'])).
% 0.19/0.57  cnf('14', plain, (~ilf_type(X,subset_type(cross_product(Y,Z))) | relation_like(X)),
% 0.19/0.57    inference(resolution,[then_simplify],['13','10','2'])).
% 0.19/0.57  cnf('15', plain, (relation_like(cross_product(X,Y))),
% 0.19/0.57    inference(resolution,[],['12','14'])).
% 0.19/0.57  cnf('16', plain, (~ilf_type(X0,set_type) | ~ilf_type(X0,set_type) | ilf_type(X0,binary_relation_type) | ~relation_like(X0)),
% 0.19/0.57    inference(cnf_transformation,[],['p11_$sk'])).
% 0.19/0.57  cnf('17', plain, (ilf_type(X,binary_relation_type) | ~relation_like(X)),
% 0.19/0.57    inference(simplify,[then_simplify],['16','2','2'])).
% 0.19/0.57  cnf('18', plain, (ilf_type(cross_product(X3,Y3),binary_relation_type)),
% 0.19/0.57    inference(resolution,[],['15','17'])).
% 0.19/0.57  cnf('19', plain, (~ilf_type(X0,binary_relation_type) | ~ilf_type(X0,set_type) | relation_like(X0)),
% 0.19/0.57    inference(cnf_transformation,[],['p11_$sk'])).
% 0.19/0.57  cnf('20', plain, (~ilf_type(X,binary_relation_type) | relation_like(X)),
% 0.19/0.57    inference(simplify,[],['19','2'])).
% 0.19/0.57  cnf('21', plain, (ilf_type(identity_relation_of(X0),binary_relation_type) | ~ilf_type(X0,set_type)),
% 0.19/0.57    inference(cnf_transformation,[],['p8_$sk'])).
% 0.19/0.57  cnf('22', plain, (ilf_type(identity_relation_of(X),binary_relation_type)),
% 0.19/0.57    inference(simplify,[],['21','2'])).
% 0.19/0.57  cnf('23', plain, (relation_like(identity_relation_of(X))),
% 0.19/0.57    inference(resolution,[],['20','22'])).
% 0.19/0.57  cnf('24', plain, (ilf_type(identity_relation_of(X3),binary_relation_type)),
% 0.19/0.57    inference(resolution,[],['17','23'])).
% 0.19/0.57  cnf('25', plain, (member(ordered_pair($sk14(identity_relation_of($sk1),cross_product($sk1,$sk1)),$sk15(identity_relation_of($sk1),cross_product($sk1,$sk1))),identity_relation_of($sk1))),
% 0.19/0.57    inference(resolution,[then_simplify],['5','6','18','24'])).
% 0.19/0.57  cnf('26', plain, (~member(ordered_pair(X0,X2),identity_relation_of(X1)) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type) | member(X0,X1)),
% 0.19/0.57    inference(cnf_transformation,[],['p2_$sk'])).
% 0.19/0.57  cnf('27', plain, (~member(ordered_pair(X,Y),identity_relation_of(Z)) | ~ilf_type(Y,set_type) | ~ilf_type(Z,set_type) | member(X,Z)),
% 0.19/0.57    inference(simplify,[],['26','2'])).
% 0.19/0.57  cnf('28', plain, (~member(ordered_pair(X,Y),identity_relation_of(Z)) | member(X,Z)),
% 0.19/0.57    inference(resolution,[then_simplify],['27','10','2'])).
% 0.19/0.57  cnf('29', plain, (member($sk14(identity_relation_of($sk1),cross_product($sk1,$sk1)),$sk1)),
% 0.19/0.57    inference(resolution,[],['25','28'])).
% 0.19/0.57  cnf('30', plain, (~member(ordered_pair(X0,X1),identity_relation_of(X2)) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type) | X0 = X1),
% 0.19/0.57    inference(cnf_transformation,[],['p2_$sk'])).
% 0.19/0.57  cnf('31', plain, (~member(ordered_pair(X,Y),identity_relation_of(Z)) | ~ilf_type(Z,set_type) | ~ilf_type(Y,set_type) | X = Y),
% 0.19/0.57    inference(simplify,[],['30','2'])).
% 0.19/0.57  cnf('32', plain, (~member(ordered_pair(X,Y),identity_relation_of(Z)) | X = Y),
% 0.19/0.57    inference(resolution,[then_simplify],['31','10','2'])).
% 0.19/0.57  cnf('33', plain, ($sk14(identity_relation_of($sk1),cross_product($sk1,$sk1)) = $sk15(identity_relation_of($sk1),cross_product($sk1,$sk1))),
% 0.19/0.57    inference(resolution,[],['25','32'])).
% 0.19/0.57  cnf('34', plain, (member($sk15(identity_relation_of($sk1),cross_product($sk1,$sk1)),$sk1)),
% 0.19/0.57    inference(simplify,[],['29','33'])).
% 0.19/0.57  cnf('35', plain, (~member(ordered_pair($sk14(X,Y),$sk15(X,Y)),Y) | ~ilf_type(Y,binary_relation_type) | ~ilf_type(X,binary_relation_type) | subset(X,Y)),
% 0.19/0.57    inference(cnf_transformation,[],['p1_$sk'])).
% 0.19/0.57  cnf('36', plain, (~member(ordered_pair($sk14(identity_relation_of(X),Y),$sk15(identity_relation_of(X),Y)),Y) | subset(identity_relation_of(X),Y) | ~ilf_type(Y,binary_relation_type)),
% 0.19/0.57    inference(resolution,[],['35','22'])).
% 0.19/0.57  cnf('37', plain, (~subset(identity_relation_of($sk1),cross_product($sk1,$sk1))),
% 0.19/0.57    inference(cnf_transformation,[],['prove_relset_1_28_$sk'])).
% 0.19/0.57  cnf('38', plain, (~member(ordered_pair($sk15(identity_relation_of($sk1),cross_product($sk1,$sk1)),$sk15(identity_relation_of($sk1),cross_product($sk1,$sk1))),cross_product($sk1,$sk1))),
% 0.19/0.57    inference(paramodulation,[then_simplify],['33','36','37','18'])).
% 0.19/0.57  cnf('39', plain, ($false),
% 0.19/0.57    inference(resolution,[then_simplify],['4','34','38'])).
% 0.19/0.57  
% 0.19/0.57  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.57  
% 0.19/0.57  run 10 fork 1 statistics:
% 0.19/0.57  ----------------------------------
% 0.19/0.57  this run seconds: 0.023355
% 0.19/0.57  total seconds: 0.186794
% 0.19/0.57  stat_given_used: 185
% 0.19/0.57  stat_given_used_at_endgame: 0
% 0.19/0.57  stat_given_candidates:   367
% 0.19/0.57  stat_given_candidates_at_endgame: 0
% 0.19/0.57  stat_given_candidates_h: 0
% 0.19/0.57  stat_binres_derived_cl:   647
% 0.19/0.57  stat_binres_derived_cl_h: 0
% 0.19/0.57  stat_factor_derived_cl: 27
% 0.19/0.57  stat_para_derived_cl: 213
% 0.19/0.57  stat_tautologies_discarded: 6
% 0.19/0.57  stat_forward_subsumed: 166
% 0.19/0.57  stat_derived_cut: 441
% 0.19/0.57  stat_derived_rewritten: 1
% 0.19/0.57  stat_weight_discarded_building: 0
% 0.19/0.57  stat_weight_discarded_cl: 0
% 0.19/0.57  stat_internlimit_discarded_cl: 0
% 0.19/0.57  stat_simplified:  87 simplified 0 derived 0 given
% 0.19/0.57  stat_kept_cl: 646
% 0.19/0.57  stat_built_cl: 1103
% 0.19/0.57  stat_hyperres_partial_cl: 0
% 0.19/0.57  stat_made_rewriters: 18
% 0.19/0.57  stat_backward_subsumed: 0
% 0.19/0.57  stat_propagated_subsumed: 0
% 0.19/0.57  stat_clsubs_attempted:                      1083
% 0.19/0.57  stat_clsubs_fact_groundunit_found:             2
% 0.19/0.57  stat_clsubs_rule_groundunit_found:             2
% 0.19/0.57  stat_clsubs_top_meta_attempted:              24513
% 0.19/0.57  stat_clsubs_top_meta_failed:                 23430
% 0.19/0.57  stat_clsubs_top_meta_nonpref_attempted:               24513
% 0.19/0.57  stat_clsubs_top_meta_nonpref_succeeded:                8130
% 0.19/0.57  stat_clsubs_top_meta_pref_attempted:                   8130
% 0.19/0.57  stat_clsubs_top_meta_pref1_succeeded:                  2994
% 0.19/0.57  stat_clsubs_top_meta_pref2_succeeded:                  1126
% 0.19/0.57  stat_clsubs_top_meta_pref3_succeeded:                  1083
% 0.19/0.57  stat_clsubs_top_meta_pref_succeeded:                   1083
% 0.19/0.57  stat_clsubs_meta_attempted:                 1628
% 0.19/0.57  stat_clsubs_meta_failed:                     539
% 0.19/0.57  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.57  stat_clsubs_unit_attempted:                  428
% 0.19/0.57  stat_clsubs_full_attempted:                  655
% 0.19/0.57  stat_forwardsubs_attempted:                  813
% 0.19/0.57  stat_lit_hash_added:                   1067
% 0.19/0.57  stat_lit_hash_computed:                5497
% 0.19/0.57  stat_lit_hash_match_found:              291
% 0.19/0.57  stat_lit_hash_match_miss:              6660
% 0.19/0.57  stat_lit_hash_cut_ok:                   122
% 0.19/0.57  stat_lit_strong_cut_ok:                 658
% 0.19/0.57  stat_lit_hash_subsume_ok:               166
% 0.19/0.57  clqueue els 10000000 used 1
% 0.19/0.57  clactive els 10000000 used 186
% 0.19/0.57  clactivesubsume els 10000000 used 871
% 0.19/0.57  queue_termbuf els 200000000 used 53524
% 0.19/0.57  hyper_termbuf els 100000000 used 1
% 0.19/0.57  active_termbuf els 100000000 used 8063
% 0.19/0.57  varstack els 5000 last used 1
% 0.19/0.57  given_termbuf els 10000000 last used 1
% 0.19/0.57  simplified_termbuf els 10000000 last used 1
% 0.19/0.57  derived_termbuf els 10000000 last used 76
% 0.19/0.57  wr_mallocs: 3174
% 0.19/0.57  wr_callocs: 21
% 0.19/0.57  wr_reallocs: 297
% 0.19/0.57  wr_frees: 2
% 0.19/0.57  wr_malloc_bytes: 4162693316
% 0.19/0.57  wr_calloc_bytes: 112065536
% 0.19/0.57  wr_realloc_bytes: 50144
% 0.19/0.57  wr_realloc_freebytes: 0
% 0.19/0.57  ----------------------------------
%------------------------------------------------------------------------------