TSTP Solution File: SET980+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET980+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.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 15:05:13 EDT 2023

% Result   : Theorem 0.15s 0.81s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET980+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.10  % Command  : gkc %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sat Aug 26 13:47:28 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.34  
% 0.15/0.34  input clause set summed statistics:
% 0.15/0.34  ----------------------------------
% 0.15/0.34  in_clause_count:                    23
% 0.15/0.34  in_rule_clause_count:               21
% 0.15/0.34  in_fact_clause_count:                2
% 0.15/0.34  in_answer_clause_count:              0
% 0.15/0.34  in_ground_clause_count:              7
% 0.15/0.34  in_unit_clause_count:                9
% 0.15/0.34  in_horn_clause_count:               18
% 0.15/0.34  in_pos_clause_count:                 7
% 0.15/0.34  in_neg_clause_count:                 7
% 0.15/0.34  in_poseq_clause_count:              11
% 0.15/0.34  in_negeq_clause_count:               7
% 0.15/0.34  in_unitposeq_clause_count:           3
% 0.15/0.34  in_chain_clause_count:               0
% 0.15/0.34  in_min_length:             1
% 0.15/0.34  in_max_length:             3
% 0.15/0.34  in_min_depth:              1
% 0.15/0.34  in_max_depth:              3
% 0.15/0.34  in_min_size:               2
% 0.15/0.34  in_max_size:              13
% 0.15/0.34  in_min_vars:               0
% 0.15/0.34  in_max_vars:               4
% 0.15/0.34  in_extaxiom_count:                 0
% 0.15/0.34  in_axiom_count:                   19
% 0.15/0.34  in_assumption_count:               0
% 0.15/0.34  in_goal_count:                     4
% 0.15/0.34  in_neg_goal_count:                 3
% 0.15/0.34  in_pos_goal_count:                 1
% 0.15/0.34  in_posunit_goal_count:             1
% 0.15/0.34  
% 0.15/0.34  auto guide:
% 0.15/0.34  -----------
% 0.15/0.34  {
% 0.15/0.34  "print":1,
% 0.15/0.34  "print_level": 15,
% 0.15/0.34  "max_size": 0,
% 0.15/0.34  "max_depth": 0,
% 0.15/0.34  "max_length": 0,
% 0.15/0.34  "max_dseconds": 0,
% 0.15/0.34  "runs":[
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% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
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% 0.15/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.15/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
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% 0.15/0.34  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.15/0.34  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.15/0.34  {"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},
% 0.15/0.34  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.15/0.34  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
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% 0.15/0.34  {"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},
% 0.15/0.34  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.15/0.34  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.15/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.15/0.34  
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.15/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.15/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.15/0.34  
% 0.15/0.34  ]}
% 0.15/0.34  
% 0.15/0.34  
% 0.15/0.34  **** run 1 fork 0 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.15/0.34  
% 0.15/0.34  **** run 2 fork 1 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.15/0.34  
% 0.15/0.34  **** run 4 fork 3 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.15/0.34  
% 0.15/0.34  **** run 6 fork 5 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 7 fork 6 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.15/0.34  
% 0.15/0.34  **** run 3 fork 2 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.15/0.35  
% 0.15/0.35  **** run 5 fork 4 starts with strategy
% 0.15/0.35  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.15/0.35  
% 0.15/0.35  **** run 8 fork 7 starts with strategy
% 0.15/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.15/0.38  
% 0.15/0.38  fork 3: search finished without proof.
% 0.15/0.41  
% 0.15/0.41  **** run 12 fork 3 starts with strategy
% 0.15/0.41  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 2: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 6: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 5: search terminated without proof.
% 0.15/0.49  
% 0.15/0.49  **** run 11 fork 2 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.49  
% 0.15/0.49  **** run 15 fork 6 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.15/0.49  
% 0.15/0.49  **** run 14 fork 5 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.15/0.49  
% 0.15/0.49  
% 0.15/0.49  fork 0: search terminated without proof.
% 0.15/0.50  
% 0.15/0.50  
% 0.15/0.50  fork 4: search terminated without proof.
% 0.15/0.51  
% 0.15/0.51  **** run 9 fork 0 starts with strategy
% 0.15/0.51  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.15/0.52  
% 0.15/0.52  **** run 13 fork 4 starts with strategy
% 0.15/0.52  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.15/0.53  
% 0.15/0.53  
% 0.15/0.53  fork 7: search terminated without proof.
% 0.15/0.53  
% 0.15/0.53  
% 0.15/0.53  fork 1: search terminated without proof.
% 0.15/0.55  
% 0.15/0.55  **** run 16 fork 7 starts with strategy
% 0.15/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.56  
% 0.15/0.56  **** run 10 fork 1 starts with strategy
% 0.15/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  fork 2: search terminated without proof.
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  fork 6: search terminated without proof.
% 0.15/0.63  
% 0.15/0.63  **** run 19 fork 2 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.15/0.63  
% 0.15/0.63  **** run 23 fork 6 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.15/0.63  
% 0.15/0.63  
% 0.15/0.63  fork 0: search terminated without proof.
% 0.15/0.65  
% 0.15/0.65  **** run 17 fork 0 starts with strategy
% 0.15/0.65  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.15/0.67  
% 0.15/0.67  
% 0.15/0.67  fork 7: search terminated without proof.
% 0.15/0.68  
% 0.15/0.68  
% 0.15/0.68  fork 1: search terminated without proof.
% 0.15/0.69  
% 0.15/0.69  **** run 24 fork 7 starts with strategy
% 0.15/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.15/0.70  
% 0.15/0.70  **** run 18 fork 1 starts with strategy
% 0.15/0.70  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.15/0.75  
% 0.15/0.75  
% 0.15/0.75  fork 6: search terminated without proof.
% 0.15/0.76  
% 0.15/0.76  
% 0.15/0.76  fork 2: search terminated without proof.
% 0.15/0.77  
% 0.15/0.77  **** run 31 fork 6 starts with strategy
% 0.15/0.77  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 0.15/0.78  
% 0.15/0.78  
% 0.15/0.78  fork 0: search terminated without proof.
% 0.15/0.78  
% 0.15/0.78  **** run 27 fork 2 starts with strategy
% 0.15/0.78  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.15/0.79  
% 0.15/0.79  **** run 25 fork 0 starts with strategy
% 0.15/0.79  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.15/0.81  
% 0.15/0.81  
% 0.15/0.81  fork 7: search terminated without proof.
% 0.15/0.81  
% 0.15/0.81  
% 0.15/0.81  result: proof found
% 0.15/0.81  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.81  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.15/0.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.81  
% 0.15/0.81  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.81  fof('t2_tarski_$sk', plain, ((X2 = X1) | ((in($sk1(X1,X2),X2) & ~in($sk1(X1,X2),X1)) | (~in($sk2(X1,X2),X2) & in($sk2(X1,X2),X1)))),
% 0.15/0.81    inference(negpush_and_skolemize,[],['t2_tarski'])).
% 0.15/0.81  fof('t2_tarski', axiom, (! [A,B] : ((! [C] : (in(C,A) <=> in(C,B))) => (A = B))),
% 0.15/0.81    input). 
% 0.15/0.81  fof('l55_zfmisc_1_$sk', plain, ((~in(ordered_pair(X4,X3),cartesian_product2(X1,X2)) | (in(X3,X2) & in(X4,X1))) & (in(ordered_pair(X8,X7),cartesian_product2(X5,X6)) | (~in(X7,X6) | ~in(X8,X5)))),
% 0.15/0.81    inference(negpush_and_skolemize,[],['l55_zfmisc_1'])).
% 0.15/0.81  fof('l55_zfmisc_1', axiom, (! [A,B,C,D] : (in(ordered_pair(A,B),cartesian_product2(C,D)) <=> (in(A,C) & in(B,D)))),
% 0.15/0.81    input). 
% 0.15/0.81  fof('t134_zfmisc_1_$sk', plain, (((~($sk6 = $sk5) | ~($sk3 = $sk4)) & (~($sk6 = empty_set) & ~($sk3 = empty_set))) & (cartesian_product2($sk3,$sk6) = cartesian_product2($sk4,$sk5))),
% 0.15/0.81    inference(negpush_and_skolemize,[],['t134_zfmisc_1'])).
% 0.15/0.81  fof('t134_zfmisc_1', conjecture, (! [A,B,C,D] : ((cartesian_product2(A,B) = cartesian_product2(C,D)) => (((A = empty_set) | (B = empty_set)) | ((A = C) & (B = D))))),
% 0.15/0.81    input). 
% 0.15/0.81  fof('d1_xboole_0_$sk', plain, ((~(X1 = empty_set) | ~in(X2,X1)) & ((X3 = empty_set) | in($sk9(X3),X3))),
% 0.15/0.81    inference(negpush_and_skolemize,[],['d1_xboole_0'])).
% 0.15/0.81  fof('d1_xboole_0', axiom, (! [A] : ((A = empty_set) <=> (! [B] : ~in(B,A)))),
% 0.15/0.81    input). 
% 0.15/0.81  fof('t113_zfmisc_1_$sk', plain, ((~(cartesian_product2(X2,X1) = empty_set) | ((X1 = empty_set) | (X2 = empty_set))) & ((cartesian_product2(X4,X3) = empty_set) | (~(X3 = empty_set) & ~(X4 = empty_set)))),
% 0.15/0.81    inference(negpush_and_skolemize,[],['t113_zfmisc_1'])).
% 0.15/0.81  fof('t113_zfmisc_1', axiom, (! [A,B] : ((cartesian_product2(A,B) = empty_set) <=> ((A = empty_set) | (B = empty_set)))),
% 0.15/0.81    input). 
% 0.15/0.81  cnf('1', plain, (in($sk2(X,Y),X) | in($sk1(X,Y),Y) | Y = X),
% 0.15/0.81    inference(cnf_transformation,[],['t2_tarski_$sk'])).
% 0.15/0.81  cnf('2', plain, (in(ordered_pair(X,Y),cartesian_product2(Z,U)) | ~in(Y,U) | ~in(X,Z)),
% 0.15/0.81    inference(cnf_transformation,[],['l55_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('3', plain, (cartesian_product2($sk3,$sk6) = cartesian_product2($sk4,$sk5)),
% 0.15/0.81    inference(cnf_transformation,[],['t134_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('4', plain, (~in(ordered_pair(X,Y),cartesian_product2(Z,U)) | in(X,Z)),
% 0.15/0.81    inference(cnf_transformation,[],['l55_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('5', plain, (~in(ordered_pair(X,Y),cartesian_product2($sk4,$sk5)) | in(X,$sk3)),
% 0.15/0.81    inference(paramodulation,[],['3','4'])).
% 0.15/0.81  cnf('6', plain, (~in(X,$sk4) | ~in(Y,$sk5) | in(X,$sk3)),
% 0.15/0.81    inference(resolution,[],['2','5'])).
% 0.15/0.81  cnf('7', plain, (in($sk2($sk4,X),$sk3) | in($sk1($sk4,X),X) | ~in(Y,$sk5) | X = $sk4),
% 0.15/0.81    inference(resolution,[],['1','6'])).
% 0.15/0.81  cnf('8', plain, (~in($sk2(X,Y),Y) | in($sk1(X,Y),Y) | Y = X),
% 0.15/0.81    inference(cnf_transformation,[],['t2_tarski_$sk'])).
% 0.15/0.81  cnf('9', plain, (~in($sk2(X,Y),Y) | ~in($sk1(X,Y),X) | Y = X),
% 0.15/0.81    inference(cnf_transformation,[],['t2_tarski_$sk'])).
% 0.15/0.81  cnf('10', plain, (in(ordered_pair(X,Y),cartesian_product2($sk4,$sk5)) | ~in(Y,$sk6) | ~in(X,$sk3)),
% 0.15/0.81    inference(paramodulation,[],['3','2'])).
% 0.15/0.81  cnf('11', plain, (~in(ordered_pair(X,Y),cartesian_product2(Z,U)) | in(Y,U)),
% 0.15/0.81    inference(cnf_transformation,[],['l55_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('12', plain, (~in(X,$sk3) | ~in(Y,$sk6) | in(Y,$sk5)),
% 0.15/0.81    inference(resolution,[],['10','11'])).
% 0.15/0.81  cnf('13', plain, (in($sk9(X),X) | X = empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['d1_xboole_0_$sk'])).
% 0.15/0.81  cnf('14', plain, ($sk3 != empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['t134_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('15', plain, (~in(X,$sk6) | in(X,$sk5)),
% 0.15/0.81    inference(resolution,[then_simplify],['12','13','14'])).
% 0.15/0.81  cnf('16', plain, (in($sk2($sk6,X),$sk5) | in($sk1($sk6,X),X) | X = $sk6),
% 0.15/0.81    inference(resolution,[],['1','15'])).
% 0.15/0.81  cnf('17', plain, (in($sk1($sk6,$sk5),$sk5) | $sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['8','16'])).
% 0.15/0.81  cnf('18', plain, (~in(ordered_pair(X,Y),cartesian_product2($sk4,$sk5)) | in(Y,$sk6)),
% 0.15/0.81    inference(paramodulation,[],['3','11'])).
% 0.15/0.81  cnf('19', plain, (~in(X,$sk4) | ~in(Y,$sk5) | in(Y,$sk6)),
% 0.15/0.81    inference(resolution,[],['2','18'])).
% 0.15/0.81  cnf('20', plain, (cartesian_product2(X,Y) != empty_set | Y = empty_set | X = empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['t113_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('21', plain, ($sk6 != empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['t134_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('22', plain, (cartesian_product2($sk4,$sk5) != empty_set),
% 0.15/0.81    inference(paramodulation,[then_simplify],['3','20','21','14'])).
% 0.15/0.81  cnf('23', plain, (cartesian_product2(X,Y) = empty_set | X != empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['t113_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('24', plain, ($sk4 != empty_set),
% 0.15/0.81    inference(resolution,[],['22','23'])).
% 0.15/0.81  cnf('25', plain, (~in(X,$sk5) | in(X,$sk6)),
% 0.15/0.81    inference(resolution,[then_simplify],['19','13','24'])).
% 0.15/0.81  cnf('26', plain, (in($sk1($sk6,$sk5),$sk6) | $sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['17','25'])).
% 0.15/0.81  cnf('27', plain, (~in($sk1(X,Y),X) | in($sk2(X,Y),X) | Y = X),
% 0.15/0.81    inference(cnf_transformation,[],['t2_tarski_$sk'])).
% 0.15/0.81  cnf('28', plain, (in($sk2($sk6,$sk5),$sk6) | $sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['26','27'])).
% 0.15/0.81  cnf('29', plain, (in($sk2($sk6,$sk5),$sk5) | $sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['28','15'])).
% 0.15/0.81  cnf('30', plain, (~in($sk1($sk6,$sk5),$sk6) | $sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['9','29'])).
% 0.15/0.81  cnf('31', plain, ($sk5 = $sk6),
% 0.15/0.81    inference(resolution,[],['30','26'])).
% 0.15/0.81  cnf('32', plain, ($sk6 != $sk5 | $sk3 != $sk4),
% 0.15/0.81    inference(cnf_transformation,[],['t134_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('33', plain, ($sk3 != $sk4),
% 0.15/0.81    inference(paramodulation,[],['31','32'])).
% 0.15/0.81  cnf('34', plain, (cartesian_product2(X,Y) = empty_set | Y != empty_set),
% 0.15/0.81    inference(cnf_transformation,[],['t113_zfmisc_1_$sk'])).
% 0.15/0.81  cnf('35', plain, ($sk5 != empty_set),
% 0.15/0.81    inference(resolution,[],['22','34'])).
% 0.15/0.81  cnf('36', plain, (in($sk9($sk5),$sk6)),
% 0.15/0.81    inference(resolution,[then_simplify],['25','13','35'])).
% 0.15/0.81  cnf('37', plain, (in($sk9($sk5),$sk5)),
% 0.15/0.81    inference(resolution,[],['15','36'])).
% 0.15/0.81  cnf('38', plain, (in($sk1($sk4,$sk3),$sk3)),
% 0.15/0.81    inference(resolution,[then_simplify],['7','8','33','37'])).
% 0.15/0.81  cnf('39', plain, (cartesian_product2($sk3,$sk5) = cartesian_product2($sk4,$sk5)),
% 0.15/0.81    inference(paramodulation,[],['31','3'])).
% 0.15/0.81  cnf('40', plain, (in(ordered_pair(X,Y),cartesian_product2($sk4,$sk5)) | ~in(Y,$sk5) | ~in(X,$sk3)),
% 0.15/0.81    inference(paramodulation,[],['39','2'])).
% 0.15/0.81  cnf('41', plain, (~in(X,$sk3) | ~in(Y,$sk5) | in(X,$sk4)),
% 0.15/0.81    inference(resolution,[],['40','4'])).
% 0.15/0.81  cnf('42', plain, (in($sk1($sk4,$sk3),$sk4)),
% 0.15/0.81    inference(resolution,[then_simplify],['38','41','37'])).
% 0.15/0.81  cnf('43', plain, (in($sk2($sk4,$sk3),$sk4)),
% 0.15/0.81    inference(resolution,[then_simplify],['42','27','33'])).
% 0.15/0.81  cnf('44', plain, (in($sk2($sk4,$sk3),$sk3)),
% 0.15/0.81    inference(resolution,[then_simplify],['43','6','37'])).
% 0.15/0.81  cnf('45', plain, (in($sk1($sk4,$sk3),$sk4)),
% 0.15/0.81    inference(resolution,[then_simplify],['38','41','37'])).
% 0.15/0.81  cnf('46', plain, ($false),
% 0.15/0.81    inference(resolution,[then_simplify],['44','9','45','33'])).
% 0.15/0.81  
% 0.15/0.81  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.81  
% 0.15/0.81  run 12 fork 3 statistics:
% 0.15/0.81  ----------------------------------
% 0.15/0.81  this run seconds: 0.026519
% 0.15/0.81  total seconds: 0.108293
% 0.15/0.81  stat_given_used: 139
% 0.15/0.81  stat_given_used_at_endgame: 0
% 0.15/0.81  stat_given_candidates:   358
% 0.15/0.81  stat_given_candidates_at_endgame: 0
% 0.15/0.81  stat_given_candidates_h: 0
% 0.15/0.81  stat_binres_derived_cl:   157
% 0.15/0.81  stat_binres_derived_cl_h: 0
% 0.15/0.81  stat_factor_derived_cl: 7
% 0.15/0.81  stat_para_derived_cl: 2086
% 0.15/0.81  stat_tautologies_discarded: 27
% 0.15/0.81  stat_forward_subsumed: 471
% 0.15/0.81  stat_derived_cut: 20
% 0.15/0.81  stat_derived_rewritten: 60
% 0.15/0.81  stat_weight_discarded_building: 0
% 0.15/0.81  stat_weight_discarded_cl: 0
% 0.15/0.81  stat_internlimit_discarded_cl: 0
% 0.15/0.81  stat_simplified:  60 simplified 0 derived 0 given
% 0.15/0.81  stat_kept_cl: 1582
% 0.15/0.81  stat_built_cl: 1920
% 0.15/0.81  stat_hyperres_partial_cl: 0
% 0.15/0.81  stat_made_rewriters: 23
% 0.15/0.81  stat_backward_subsumed: 0
% 0.15/0.81  stat_propagated_subsumed: 0
% 0.15/0.81  stat_clsubs_attempted:                      1052
% 0.15/0.81  stat_clsubs_fact_groundunit_found:             2
% 0.15/0.81  stat_clsubs_rule_groundunit_found:             3
% 0.15/0.81  stat_clsubs_top_meta_attempted:              11272
% 0.15/0.81  stat_clsubs_top_meta_failed:                 10220
% 0.15/0.81  stat_clsubs_top_meta_nonpref_attempted:               11272
% 0.15/0.81  stat_clsubs_top_meta_nonpref_succeeded:                3356
% 0.15/0.81  stat_clsubs_top_meta_pref_attempted:                   3356
% 0.15/0.81  stat_clsubs_top_meta_pref1_succeeded:                  1705
% 0.15/0.81  stat_clsubs_top_meta_pref2_succeeded:                  1225
% 0.15/0.81  stat_clsubs_top_meta_pref3_succeeded:                  1052
% 0.15/0.81  stat_clsubs_top_meta_pref_succeeded:                   1052
% 0.15/0.81  stat_clsubs_meta_attempted:                 2031
% 0.15/0.81  stat_clsubs_meta_failed:                     252
% 0.15/0.81  stat_clsubs_predsymbs_attempted:               0
% 0.15/0.81  stat_clsubs_unit_attempted:                  501
% 0.15/0.81  stat_clsubs_full_attempted:                  551
% 0.15/0.81  stat_forwardsubs_attempted:                 2054
% 0.15/0.81  stat_lit_hash_added:                   1690
% 0.15/0.81  stat_lit_hash_computed:                6284
% 0.15/0.81  stat_lit_hash_match_found:              510
% 0.15/0.81  stat_lit_hash_match_miss:              7151
% 0.15/0.81  stat_lit_hash_cut_ok:                    18
% 0.15/0.81  stat_lit_strong_cut_ok:                  10
% 0.15/0.81  stat_lit_hash_subsume_ok:               471
% 0.15/0.81  clqueue els 10000000 used 1
% 0.15/0.81  clactive els 10000000 used 140
% 0.15/0.81  clactivesubsume els 10000000 used 631
% 0.15/0.81  queue_termbuf els 200000000 used 214227
% 0.15/0.81  hyper_termbuf els 100000000 used 1
% 0.15/0.81  active_termbuf els 100000000 used 5364
% 0.15/0.81  varstack els 5000 last used 1
% 0.15/0.81  given_termbuf els 10000000 last used 1
% 0.15/0.81  simplified_termbuf els 10000000 last used 1
% 0.15/0.81  derived_termbuf els 10000000 last used 39
% 0.15/0.81  wr_mallocs: 4939
% 0.15/0.81  wr_callocs: 21
% 0.15/0.81  wr_reallocs: 446
% 0.15/0.81  wr_frees: 2
% 0.15/0.81  wr_malloc_bytes: 4162758996
% 0.15/0.81  wr_calloc_bytes: 112065536
% 0.15/0.81  wr_realloc_bytes: 49512
% 0.15/0.81  wr_realloc_freebytes: 0
% 0.15/0.81  ----------------------------------
%------------------------------------------------------------------------------