TSTP Solution File: SEU098+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n013.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 16:57:43 EDT 2023

% Result   : Theorem 1.74s 0.77s
% Output   : CNFRefutation 1.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 13:11:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.39  
% 0.21/0.39  input clause set summed statistics:
% 0.21/0.39  ----------------------------------
% 0.21/0.39  in_clause_count:                   179
% 0.21/0.39  in_rule_clause_count:              101
% 0.21/0.39  in_fact_clause_count:               78
% 0.21/0.39  in_answer_clause_count:              0
% 0.21/0.39  in_ground_clause_count:             89
% 0.21/0.39  in_unit_clause_count:              108
% 0.21/0.39  in_horn_clause_count:              171
% 0.21/0.39  in_pos_clause_count:               106
% 0.21/0.39  in_neg_clause_count:                12
% 0.21/0.39  in_poseq_clause_count:               5
% 0.21/0.39  in_negeq_clause_count:               0
% 0.21/0.39  in_unitposeq_clause_count:           1
% 0.21/0.39  in_chain_clause_count:               8
% 0.21/0.39  in_min_length:             1
% 0.21/0.39  in_max_length:             4
% 0.21/0.39  in_min_depth:              1
% 0.21/0.39  in_max_depth:              4
% 0.21/0.39  in_min_size:               2
% 0.21/0.39  in_max_size:              21
% 0.21/0.39  in_min_vars:               0
% 0.21/0.39  in_max_vars:               4
% 0.21/0.39  in_extaxiom_count:                 0
% 0.21/0.39  in_axiom_count:                  173
% 0.21/0.39  in_assumption_count:               0
% 0.21/0.39  in_goal_count:                     6
% 0.21/0.39  in_neg_goal_count:                 1
% 0.21/0.39  in_pos_goal_count:                 3
% 0.21/0.39  in_posunit_goal_count:             2
% 0.21/0.39  
% 0.21/0.39  auto guide:
% 0.21/0.39  -----------
% 0.21/0.39  {
% 0.21/0.39  "print":1,
% 0.21/0.39  "print_level": 15,
% 0.21/0.39  "max_size": 0,
% 0.21/0.39  "max_depth": 0,
% 0.21/0.39  "max_length": 0,
% 0.21/0.39  "max_dseconds": 0,
% 0.21/0.39  "runs":[
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39  {"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},
% 0.21/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.39  {"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},
% 0.21/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.21/0.39  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.21/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39  {"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},
% 0.21/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39  {"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},
% 0.21/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.39  
% 0.21/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.21/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
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% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.21/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 6 fork 5 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.41  
% 0.21/0.41  **** run 7 fork 6 starts with strategy
% 0.21/0.41  
% 0.21/0.41  **** run 8 fork 7 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}{"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.41  
% 0.21/0.44  
% 0.21/0.44  fork 1: search finished without proof.
% 0.21/0.47  
% 0.21/0.47  **** run 10 fork 1 starts with strategy
% 0.21/0.47  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.48  
% 0.21/0.48  fork 2: search finished without proof.
% 0.21/0.50  
% 0.21/0.50  fork 3: search finished without proof.
% 0.21/0.51  
% 0.21/0.51  **** run 11 fork 2 starts with strategy
% 0.21/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.52  
% 0.21/0.52  **** run 12 fork 3 starts with strategy
% 0.21/0.52  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 4: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 5: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 6: search terminated without proof.
% 0.21/0.56  
% 0.21/0.56  **** run 14 fork 5 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.56  
% 0.21/0.56  **** run 13 fork 4 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.21/0.58  
% 0.21/0.58  **** run 15 fork 6 starts with strategy
% 0.21/0.58  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.63  
% 0.21/0.63  
% 0.21/0.63  fork 2: search terminated without proof.
% 0.21/0.65  
% 0.21/0.65  
% 0.21/0.65  fork 3: search terminated without proof.
% 0.21/0.65  
% 0.21/0.65  **** run 19 fork 2 starts with strategy
% 0.21/0.65  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.21/0.67  
% 0.21/0.67  **** run 20 fork 3 starts with strategy
% 0.21/0.67  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.21/0.69  
% 0.21/0.69  
% 0.21/0.69  fork 5: search terminated without proof.
% 0.21/0.69  
% 0.21/0.69  
% 0.21/0.69  fork 4: search terminated without proof.
% 1.74/0.71  
% 1.74/0.71  **** run 22 fork 5 starts with strategy
% 1.74/0.71  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 1.74/0.71  
% 1.74/0.71  
% 1.74/0.71  fork 6: search terminated without proof.
% 1.74/0.71  
% 1.74/0.71  **** run 21 fork 4 starts with strategy
% 1.74/0.71  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 1.74/0.73  
% 1.74/0.73  **** run 23 fork 6 starts with strategy
% 1.74/0.73  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 1.74/0.74  
% 1.74/0.74  fork 4: search finished without proof.
% 1.74/0.76  
% 1.74/0.76  **** run 29 fork 4 starts with strategy
% 1.74/0.76  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 1.74/0.77  
% 1.74/0.77  
% 1.74/0.77  result: proof found
% 1.74/0.77  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.74/0.77  by run 23 fork 6 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 1.74/0.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.74/0.77  
% 1.74/0.77  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.74/0.77  fof('t100_funct_3_$sk', plain, ((function_image(cartesian_product2(relation_dom(X1),relation_rng(X1)),relation_dom(X1),first_projection_as_func_of(relation_dom(X1),relation_rng(X1)),X1) = relation_dom(X1)) | (~function(X1) | ~relation(X1))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['t100_funct_3'])).
% 1.74/0.77  fof('t100_funct_3', axiom, (! [A] : ((relation(A) & function(A)) => (function_image(cartesian_product2(relation_dom(A),relation_rng(A)),relation_dom(A),first_projection_as_func_of(relation_dom(A),relation_rng(A)),A) = relation_dom(A)))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('redefinition_k2_funct_2_$sk', plain, ((function_image(X4,X3,X2,X1) = relation_image(X2,X1)) | (~relation_of2(X2,X4,X3) | (~quasi_total(X2,X4,X3) | ~function(X2)))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['redefinition_k2_funct_2'])).
% 1.74/0.77  fof('redefinition_k2_funct_2', axiom, (! [A,B,C,D] : (((function(C) & quasi_total(C,A,B)) & relation_of2(C,A,B)) => (function_image(A,B,C,D) = relation_image(C,D)))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('dt_k9_funct_3_$sk', plain, (relation_of2_as_subset(first_projection_as_func_of(X2,X1),cartesian_product2(X2,X1),X2) & (quasi_total(first_projection_as_func_of(X4,X3),cartesian_product2(X4,X3),X4) & function(first_projection_as_func_of(X4,X3)))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['dt_k9_funct_3'])).
% 1.74/0.77  fof('dt_k9_funct_3', axiom, (! [A,B] : ((function(first_projection_as_func_of(A,B)) & quasi_total(first_projection_as_func_of(A,B),cartesian_product2(A,B),A)) & relation_of2_as_subset(first_projection_as_func_of(A,B),cartesian_product2(A,B),A))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('redefinition_m2_relset_1_$sk', plain, ((~relation_of2_as_subset(X3,X2,X1) | relation_of2(X3,X2,X1)) & (relation_of2_as_subset(X6,X5,X4) | ~relation_of2(X6,X5,X4))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['redefinition_m2_relset_1'])).
% 1.74/0.77  fof('redefinition_m2_relset_1', axiom, (! [A,B,C] : (relation_of2_as_subset(C,A,B) <=> relation_of2(C,A,B))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('fc13_finset_1_$sk', plain, (finite(relation_image(X2,X1)) | (~finite(X1) | (~function(X2) | ~relation(X2)))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['fc13_finset_1'])).
% 1.74/0.77  fof('fc13_finset_1', axiom, (! [A,B] : (((relation(A) & function(A)) & finite(B)) => finite(relation_image(A,B)))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('dt_m2_relset_1_$sk', plain, (element(X3,powerset(cartesian_product2(X1,X2))) | ~relation_of2_as_subset(X3,X1,X2)),
% 1.74/0.77    inference(negpush_and_skolemize,[],['dt_m2_relset_1'])).
% 1.74/0.77  fof('dt_m2_relset_1', axiom, (! [A,B,C] : (relation_of2_as_subset(C,A,B) => element(C,powerset(cartesian_product2(A,B))))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('cc1_relset_1_$sk', plain, (relation(X3) | ~element(X3,powerset(cartesian_product2(X2,X1)))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['cc1_relset_1'])).
% 1.74/0.77  fof('cc1_relset_1', axiom, (! [A,B,C] : (element(C,powerset(cartesian_product2(A,B))) => relation(C))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('t29_finset_1_$sk', plain, (((finite(relation_dom($sk1)) & ~finite($sk1)) | (~finite(relation_dom($sk1)) & finite($sk1))) & (function($sk1) & relation($sk1))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['t29_finset_1'])).
% 1.74/0.77  fof('t29_finset_1', conjecture, (! [A] : ((relation(A) & function(A)) => (finite(relation_dom(A)) <=> finite(A)))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('t21_relat_1_$sk', plain, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1))) | ~relation(X1)),
% 1.74/0.77    inference(negpush_and_skolemize,[],['t21_relat_1'])).
% 1.74/0.77  fof('t21_relat_1', axiom, (! [A] : (relation(A) => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('t13_finset_1_$sk', plain, (finite(X2) | (~finite(X1) | ~subset(X2,X1))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['t13_finset_1'])).
% 1.74/0.77  fof('t13_finset_1', axiom, (! [A,B] : ((subset(A,B) & finite(B)) => finite(A))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('fc14_finset_1_$sk', plain, (finite(cartesian_product2(X2,X1)) | (~finite(X1) | ~finite(X2))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['fc14_finset_1'])).
% 1.74/0.77  fof('fc14_finset_1', axiom, (! [A,B] : ((finite(A) & finite(B)) => finite(cartesian_product2(A,B)))),
% 1.74/0.77    input). 
% 1.74/0.77  fof('t26_finset_1_$sk', plain, ((finite(relation_rng(X1)) | ~finite(relation_dom(X1))) | (~function(X1) | ~relation(X1))),
% 1.74/0.77    inference(negpush_and_skolemize,[],['t26_finset_1'])).
% 1.74/0.77  fof('t26_finset_1', axiom, (! [A] : ((relation(A) & function(A)) => (finite(relation_dom(A)) => finite(relation_rng(A))))),
% 1.74/0.77    input). 
% 1.74/0.77  cnf('1', plain, (function_image(cartesian_product2(relation_dom(X),relation_rng(X)),relation_dom(X),first_projection_as_func_of(relation_dom(X),relation_rng(X)),X) = relation_dom(X) | ~relation(X) | ~function(X)),
% 1.74/0.77    inference(cnf_transformation,[],['t100_funct_3_$sk'])).
% 1.74/0.77  cnf('2', plain, (function_image(X,Y,Z,U) = relation_image(Z,U) | ~quasi_total(Z,X,Y) | ~relation_of2(Z,X,Y) | ~function(Z)),
% 1.74/0.77    inference(cnf_transformation,[],['redefinition_k2_funct_2_$sk'])).
% 1.74/0.77  cnf('3', plain, (quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)),
% 1.74/0.77    inference(cnf_transformation,[],['dt_k9_funct_3_$sk'])).
% 1.74/0.77  cnf('4', plain, (relation_of2_as_subset(first_projection_as_func_of(X,Y),cartesian_product2(X,Y),X)),
% 1.74/0.77    inference(cnf_transformation,[],['dt_k9_funct_3_$sk'])).
% 1.74/0.77  cnf('5', plain, (~relation_of2_as_subset(X,Y,Z) | relation_of2(X,Y,Z)),
% 1.74/0.77    inference(cnf_transformation,[],['redefinition_m2_relset_1_$sk'])).
% 1.74/0.77  cnf('6', plain, (relation_of2(first_projection_as_func_of(X3,Y3),cartesian_product2(X3,Y3),X3)),
% 1.74/0.77    inference(resolution,[],['4','5'])).
% 1.74/0.77  cnf('7', plain, (function(first_projection_as_func_of(X0,X1))),
% 1.74/0.77    inference(cnf_transformation,[],['dt_k9_funct_3_$sk'])).
% 1.74/0.77  cnf('8', plain, (relation_dom(X) = relation_image(first_projection_as_func_of(relation_dom(X),relation_rng(X)),X) | ~relation(X) | ~function(X)),
% 1.74/0.77    inference(paramodulation,[then_simplify],['1','2','3','6','7'])).
% 1.74/0.77  cnf('9', plain, (finite(relation_image(X,Y)) | ~relation(X) | ~function(X) | ~finite(Y)),
% 1.74/0.77    inference(cnf_transformation,[],['fc13_finset_1_$sk'])).
% 1.74/0.77  cnf('10', plain, (element(X,powerset(cartesian_product2(Y,Z))) | ~relation_of2_as_subset(X,Y,Z)),
% 1.74/0.77    inference(cnf_transformation,[],['dt_m2_relset_1_$sk'])).
% 1.74/0.77  cnf('11', plain, (~element(X,powerset(cartesian_product2(Y,Z))) | relation(X)),
% 1.74/0.77    inference(cnf_transformation,[],['cc1_relset_1_$sk'])).
% 1.74/0.77  cnf('12', plain, (~relation_of2_as_subset(X,Y,Z) | relation(X)),
% 1.74/0.77    inference(resolution,[],['10','11'])).
% 1.74/0.77  cnf('13', plain, (relation(first_projection_as_func_of(X3,Y3))),
% 1.74/0.77    inference(resolution,[],['12','4'])).
% 1.74/0.77  cnf('14', plain, (finite(relation_dom(X)) | ~relation(X) | ~function(X) | ~finite(X)),
% 1.74/0.77    inference(paramodulation,[then_simplify],['8','9','13','7'])).
% 1.74/0.77  cnf('15', plain, (~finite(relation_dom($sk1)) | ~finite($sk1)),
% 1.74/0.77    inference(cnf_transformation,[],['t29_finset_1_$sk'])).
% 1.74/0.77  cnf('16', plain, (relation($sk1)),
% 1.74/0.77    inference(cnf_transformation,[],['t29_finset_1_$sk'])).
% 1.74/0.77  cnf('17', plain, (function($sk1)),
% 1.74/0.77    inference(cnf_transformation,[],['t29_finset_1_$sk'])).
% 1.74/0.77  cnf('18', plain, (subset(X,cartesian_product2(relation_dom(X),relation_rng(X))) | ~relation(X)),
% 1.74/0.77    inference(cnf_transformation,[],['t21_relat_1_$sk'])).
% 1.74/0.77  cnf('19', plain, (~subset(X,Y) | ~finite(Y) | finite(X)),
% 1.74/0.77    inference(cnf_transformation,[],['t13_finset_1_$sk'])).
% 1.74/0.77  cnf('20', plain, (~finite(cartesian_product2(relation_dom(X),relation_rng(X))) | ~relation(X) | finite(X)),
% 1.74/0.77    inference(resolution,[],['18','19'])).
% 1.74/0.77  cnf('21', plain, (finite(cartesian_product2(X,Y)) | ~finite(Y) | ~finite(X)),
% 1.74/0.77    inference(cnf_transformation,[],['fc14_finset_1_$sk'])).
% 1.74/0.77  cnf('22', plain, (~finite(relation_rng(X)) | ~finite(relation_dom(X)) | ~relation(X) | finite(X)),
% 1.74/0.77    inference(resolution,[],['20','21'])).
% 1.74/0.77  cnf('23', plain, (~finite(relation_dom(X)) | finite(relation_rng(X)) | ~relation(X) | ~function(X)),
% 1.74/0.77    inference(cnf_transformation,[],['t26_finset_1_$sk'])).
% 1.74/0.77  cnf('24', plain, (finite(relation_dom($sk1)) | finite($sk1)),
% 1.74/0.77    inference(cnf_transformation,[],['t29_finset_1_$sk'])).
% 1.74/0.77  cnf('25', plain, (finite(relation_rng($sk1)) | finite($sk1)),
% 1.74/0.77    inference(resolution,[then_simplify],['23','24','16','17'])).
% 1.74/0.77  cnf('26', plain, (~finite(relation_dom($sk1)) | finite($sk1)),
% 1.74/0.77    inference(resolution,[then_simplify],['22','25','16'])).
% 1.74/0.77  cnf('27', plain, (finite($sk1)),
% 1.74/0.77    inference(resolution,[],['26','24'])).
% 1.74/0.77  cnf('28', plain, ($false),
% 1.74/0.77    inference(resolution,[then_simplify],['14','15','16','17','27'])).
% 1.74/0.77  
% 1.74/0.77  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.74/0.77  
% 1.74/0.77  run 23 fork 6 statistics:
% 1.74/0.77  ----------------------------------
% 1.74/0.77  this run seconds: 0.012917
% 1.74/0.77  total seconds: 0.353587
% 1.74/0.77  stat_given_used: 232
% 1.74/0.77  stat_given_used_at_endgame: 0
% 1.74/0.77  stat_given_candidates:   398
% 1.74/0.77  stat_given_candidates_at_endgame: 0
% 1.74/0.77  stat_given_candidates_h: 0
% 1.74/0.77  stat_binres_derived_cl:   225
% 1.74/0.77  stat_binres_derived_cl_h: 0
% 1.74/0.77  stat_factor_derived_cl: 12
% 1.74/0.77  stat_para_derived_cl: 48
% 1.74/0.77  stat_tautologies_discarded: 13
% 1.74/0.77  stat_forward_subsumed: 29
% 1.74/0.77  stat_derived_cut: 40
% 1.74/0.77  stat_derived_rewritten: 1
% 1.74/0.77  stat_weight_discarded_building: 0
% 1.74/0.77  stat_weight_discarded_cl: 0
% 1.74/0.77  stat_internlimit_discarded_cl: 0
% 1.74/0.77  stat_simplified:  4 simplified 0 derived 0 given
% 1.74/0.77  stat_kept_cl: 233
% 1.74/0.77  stat_built_cl: 701
% 1.74/0.77  stat_hyperres_partial_cl: 0
% 1.74/0.77  stat_made_rewriters: 1
% 1.74/0.77  stat_backward_subsumed: 0
% 1.74/0.77  stat_propagated_subsumed: 0
% 1.74/0.77  stat_clsubs_attempted:                       936
% 1.74/0.77  stat_clsubs_fact_groundunit_found:            41
% 1.74/0.77  stat_clsubs_rule_groundunit_found:             0
% 1.74/0.77  stat_clsubs_top_meta_attempted:              21772
% 1.74/0.77  stat_clsubs_top_meta_failed:                 20836
% 1.74/0.77  stat_clsubs_top_meta_nonpref_attempted:               21772
% 1.74/0.77  stat_clsubs_top_meta_nonpref_succeeded:               12481
% 1.74/0.77  stat_clsubs_top_meta_pref_attempted:                  12481
% 1.74/0.77  stat_clsubs_top_meta_pref1_succeeded:                  2173
% 1.74/0.77  stat_clsubs_top_meta_pref2_succeeded:                   975
% 1.74/0.77  stat_clsubs_top_meta_pref3_succeeded:                   936
% 1.74/0.77  stat_clsubs_top_meta_pref_succeeded:                    936
% 1.74/0.77  stat_clsubs_meta_attempted:                 2640
% 1.74/0.77  stat_clsubs_meta_failed:                    1322
% 1.74/0.77  stat_clsubs_predsymbs_attempted:               0
% 1.74/0.77  stat_clsubs_unit_attempted:                  184
% 1.74/0.77  stat_clsubs_full_attempted:                  752
% 1.74/0.77  stat_forwardsubs_attempted:                  263
% 1.74/0.77  stat_lit_hash_added:                    336
% 1.74/0.77  stat_lit_hash_computed:                3322
% 1.74/0.77  stat_lit_hash_match_found:               90
% 1.74/0.77  stat_lit_hash_match_miss:              4143
% 1.74/0.77  stat_lit_hash_cut_ok:                    21
% 1.74/0.77  stat_lit_strong_cut_ok:                  49
% 1.74/0.77  stat_lit_hash_subsume_ok:                29
% 1.74/0.77  clqueue els 10000000 used 1
% 1.74/0.77  clactive els 10000000 used 233
% 1.74/0.77  clactivesubsume els 10000000 used 985
% 1.74/0.77  queue_termbuf els 200000000 used 15121
% 1.74/0.77  hyper_termbuf els 100000000 used 1
% 1.74/0.77  active_termbuf els 100000000 used 6761
% 1.74/0.77  varstack els 5000 last used 1
% 1.74/0.77  given_termbuf els 10000000 last used 1
% 1.74/0.77  simplified_termbuf els 10000000 last used 1
% 1.74/0.77  derived_termbuf els 10000000 last used 47
% 1.74/0.77  wr_mallocs: 1800
% 1.74/0.77  wr_callocs: 21
% 1.74/0.77  wr_reallocs: 61
% 1.74/0.77  wr_frees: 4
% 1.74/0.77  wr_malloc_bytes: 4162658532
% 1.74/0.77  wr_calloc_bytes: 112065536
% 1.74/0.77  wr_realloc_bytes: 33576
% 1.74/0.77  wr_realloc_freebytes: 0
% 1.74/0.77  ----------------------------------
%------------------------------------------------------------------------------