TSTP Solution File: ALG223+2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG223+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n027.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 : Wed Aug 30 16:28:27 EDT 2023

% Result   : Theorem 4.98s 1.26s
% Output   : CNFRefutation 4.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG223+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 04:26:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.65  
% 0.20/0.65  input clause set summed statistics:
% 0.20/0.65  ----------------------------------
% 0.20/0.65  in_clause_count:                 13690
% 0.20/0.65  in_rule_clause_count:            13153
% 0.20/0.65  in_fact_clause_count:              537
% 0.20/0.65  in_answer_clause_count:              0
% 0.20/0.65  in_ground_clause_count:           2393
% 0.20/0.65  in_unit_clause_count:             1885
% 0.20/0.65  in_horn_clause_count:             9061
% 0.20/0.65  in_pos_clause_count:              2528
% 0.20/0.65  in_neg_clause_count:              1396
% 0.20/0.65  in_poseq_clause_count:            3801
% 0.20/0.65  in_negeq_clause_count:            2142
% 0.20/0.65  in_unitposeq_clause_count:         230
% 0.20/0.65  in_chain_clause_count:             145
% 0.20/0.65  in_min_length:             1
% 0.20/0.65  in_max_length:            26
% 0.20/0.65  in_min_depth:              1
% 0.20/0.65  in_max_depth:              7
% 0.20/0.65  in_min_size:               2
% 0.20/0.65  in_max_size:             224
% 0.20/0.65  in_min_vars:               0
% 0.20/0.65  in_max_vars:              12
% 0.20/0.65  in_extaxiom_count:             13652
% 0.20/0.65  in_axiom_count:                   31
% 0.20/0.65  in_assumption_count:               0
% 0.20/0.65  in_goal_count:                     7
% 0.20/0.65  in_neg_goal_count:                 1
% 0.20/0.65  in_pos_goal_count:                 6
% 0.20/0.65  in_posunit_goal_count:             6
% 0.20/0.65  
% 0.20/0.65  auto guide:
% 0.20/0.65  -----------
% 0.20/0.65  {
% 0.20/0.65  "print":1,
% 0.20/0.65  "print_level": 15,
% 0.20/0.65  "max_size": 0,
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% 0.20/0.65  "max_dseconds": 0,
% 0.20/0.65  "runs":[
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% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":4},
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% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref","prohibit_deep_para"], "max_dseconds":1},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref","prohibit_deep_para","prohibit_unordered_para"], "max_dseconds":1},
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% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.20/0.65  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.65  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
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% 0.20/0.65  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.65  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
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% 0.20/0.65  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
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% 0.20/0.65  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
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% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
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% 0.20/0.65  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
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% 0.20/0.65  {"max_depth":0, "sine":5, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.65  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.65  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.65  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.65  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.65  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.65  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.65  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.65  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.65  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.65  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.65  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.65  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.65  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.65  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.65  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.65  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.65  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.65  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.65  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.65  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.65  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.65  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.65  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.65  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.65  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.65  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus","prohibit_unordered_para"], "max_dseconds":50},
% 0.20/0.65  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.65  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.65  
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3, "sine":2},
% 0.20/0.65  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.65  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.65  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.65  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.65  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":250},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":250, "sine":2},
% 0.20/0.65  
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3, "sine":2},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.65  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.65  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1250},
% 0.20/0.65  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1250, "sine":2} 
% 0.20/0.65  
% 0.20/0.65  ]}
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  **** run 1 fork 0 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.65  
% 0.20/0.65  **** run 2 fork 1 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.65  
% 0.20/0.65  **** run 3 fork 2 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.20/0.65  
% 0.20/0.65  **** run 4 fork 3 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 0.20/0.65  
% 0.20/0.65  **** run 5 fork 4 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2,"sine":1}
% 0.20/0.65  
% 0.20/0.65  **** run 6 fork 5 starts with strategy
% 0.20/0.65  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2,"sine":4}
% 0.20/0.66  
% 0.20/0.66  **** run 7 fork 6 starts with strategy
% 0.20/0.66  {"max_dseconds":1,"strategy":["unit","pure_unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.67  
% 0.20/0.67  **** run 8 fork 7 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 1.30/0.83  
% 1.30/0.83  
% 1.30/0.83  fork 5: search terminated without proof.
% 1.30/0.84  
% 1.30/0.84  
% 1.30/0.84  fork 6: search terminated without proof.
% 1.30/0.84  
% 1.30/0.84  **** run 14 fork 5 starts with strategy
% 1.30/0.84  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 1.30/0.86  
% 1.30/0.86  
% 1.30/0.86  fork 3: search terminated without proof.
% 1.30/0.87  
% 1.30/0.87  
% 1.30/0.87  fork 7: search terminated without proof.
% 1.30/0.87  
% 1.30/0.87  **** run 15 fork 6 starts with strategy
% 1.30/0.87  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 1.30/0.89  
% 1.30/0.89  **** run 16 fork 7 starts with strategy
% 1.30/0.89  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 1.30/0.89  
% 1.30/0.89  **** run 12 fork 3 starts with strategy
% 1.30/0.89  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 2.17/0.90  
% 2.17/0.90  
% 2.17/0.90  fork 4: search terminated without proof.
% 2.17/0.91  
% 2.17/0.91  
% 2.17/0.91  fork 0: search terminated without proof.
% 2.17/0.91  
% 2.17/0.91  
% 2.17/0.91  fork 2: search terminated without proof.
% 2.17/0.92  
% 2.17/0.92  
% 2.17/0.92  fork 1: search terminated without proof.
% 2.17/0.93  
% 2.17/0.93  **** run 13 fork 4 starts with strategy
% 2.17/0.93  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3,"sine":2}
% 2.60/0.96  
% 2.60/0.96  **** run 11 fork 2 starts with strategy
% 2.60/0.96  {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref","prohibit_deep_para","prohibit_unordered_para"],"max_dseconds":1}
% 2.60/0.96  
% 2.60/0.96  **** run 9 fork 0 starts with strategy
% 2.60/0.96  {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":1}
% 2.60/0.96  
% 2.60/0.96  **** run 10 fork 1 starts with strategy
% 2.60/0.96  {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref","prohibit_deep_para"],"max_dseconds":1}
% 2.60/0.98  
% 2.60/0.98  
% 2.60/0.98  fork 5: search terminated without proof.
% 2.97/1.00  
% 2.97/1.00  **** run 22 fork 5 starts with strategy
% 2.97/1.00  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 2.97/1.03  
% 2.97/1.03  
% 2.97/1.03  fork 6: search terminated without proof.
% 3.35/1.05  
% 3.35/1.05  **** run 23 fork 6 starts with strategy
% 3.35/1.05  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 3.35/1.06  
% 3.35/1.06  
% 3.35/1.06  fork 7: search terminated without proof.
% 3.35/1.08  
% 3.35/1.08  **** run 24 fork 7 starts with strategy
% 3.35/1.08  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.35/1.08  
% 3.35/1.08  
% 3.35/1.08  fork 4: search terminated without proof.
% 3.35/1.10  
% 3.35/1.10  **** run 21 fork 4 starts with strategy
% 3.35/1.10  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 3.35/1.11  
% 3.35/1.11  
% 3.35/1.11  fork 1: search terminated without proof.
% 3.35/1.11  
% 3.35/1.11  
% 3.35/1.11  fork 0: search terminated without proof.
% 3.35/1.11  
% 3.35/1.11  
% 3.35/1.11  fork 2: search terminated without proof.
% 3.35/1.13  
% 3.35/1.13  **** run 18 fork 1 starts with strategy
% 3.35/1.13  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 3.35/1.13  
% 3.35/1.13  **** run 17 fork 0 starts with strategy
% 3.35/1.13  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.35/1.13  
% 3.35/1.13  
% 3.35/1.13  fork 3: search terminated without proof.
% 3.35/1.13  
% 3.35/1.13  **** run 19 fork 2 starts with strategy
% 3.35/1.13  {"sine":1,"rewrite":0,"depth_penalty":50,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":1}
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  fork 5: search terminated without proof.
% 4.16/1.17  
% 4.16/1.17  **** run 20 fork 3 starts with strategy
% 4.16/1.17  {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":1,"sine":2}
% 4.16/1.18  
% 4.16/1.18  **** run 30 fork 5 starts with strategy
% 4.16/1.18  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 4.55/1.21  
% 4.55/1.21  
% 4.55/1.21  fork 6: search terminated without proof.
% 4.55/1.23  
% 4.55/1.23  
% 4.55/1.23  fork 7: search terminated without proof.
% 4.55/1.23  
% 4.55/1.23  **** run 31 fork 6 starts with strategy
% 4.55/1.23  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.98/1.25  
% 4.98/1.25  **** run 32 fork 7 starts with strategy
% 4.98/1.25  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.98/1.26  
% 4.98/1.26  
% 4.98/1.26  result: proof found
% 4.98/1.26  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.98/1.26  by run 20 fork 3 strategy {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":1,"sine":2}
% 4.98/1.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.98/1.26  
% 4.98/1.26  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.98/1.26  fof('$inc_t1_xboole_1_$sk', plain, (r1_tarski(X3,X2) | (~r1_tarski(X1,X2) | ~r1_tarski(X3,X1))),
% 4.98/1.26    inference(negpush_and_skolemize,[],['$inc_t1_xboole_1'])).
% 4.98/1.26  fof('$inc_t1_xboole_1', axiom, (! [A,B,C] : ((r1_tarski(A,B) & r1_tarski(B,C)) => r1_tarski(A,C))),
% 4.98/1.26    input). 
% 4.98/1.26  fof('d1_closure3_$sk', plain, (((((~r1_closure3(X2,X1,X3,X4) | ((r1_tarski(X5,$sk8(X1,X2,X3,X4,X5)) & r2_hidden($sk8(X1,X2,X3,X4,X5),X3)) | ~r2_hidden(X5,X4))) & (r1_closure3(X2,X1,X3,X4) | ((~r1_tarski($sk9(X1,X2,X3,X4),X6) | ~r2_hidden(X6,X3)) & r2_hidden($sk9(X1,X2,X3,X4),X4)))) | ~m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X1)))) | ~m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X2,X1)))) | ~m1_pboole(X1,X2)),
% 4.98/1.26    inference(negpush_and_skolemize,[],['d1_closure3'])).
% 4.98/1.26  fof('d1_closure3', axiom, (! [A,B] : (m1_pboole(B,A) => (! [C] : (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => (! [D] : (m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => (r1_closure3(A,B,C,D) <=> (! [E] : ~(r2_hidden(E,D) & (! [F] : ~(r2_hidden(F,C) & r1_tarski(E,F)))))))))))),
% 4.98/1.26    input). 
% 4.98/1.26  fof('t4_closure3_$sk', plain, (((((~r1_closure3($sk2,$sk1,$sk5,$sk3) & (r1_closure3($sk2,$sk1,$sk5,$sk4) & r1_closure3($sk2,$sk1,$sk4,$sk3))) & m1_subset_1($sk5,k1_zfmisc_1(k1_closure2($sk2,$sk1)))) & m1_subset_1($sk4,k1_zfmisc_1(k1_closure2($sk2,$sk1)))) & m1_subset_1($sk3,k1_zfmisc_1(k1_closure2($sk2,$sk1)))) & m1_pboole($sk1,$sk2)),
% 4.98/1.26    inference(negpush_and_skolemize,[],['t4_closure3'])).
% 4.98/1.26  fof('t4_closure3', conjecture, (! [A,B] : (m1_pboole(B,A) => (! [C] : (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => (! [D] : (m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => (! [E] : (m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B))) => ((r1_closure3(A,B,D,C) & r1_closure3(A,B,E,D)) => r1_closure3(A,B,E,C)))))))))),
% 4.98/1.26    input). 
% 4.98/1.26  cnf('1', plain, (~r1_tarski(X,Y) | ~r1_tarski(Z,X) | r1_tarski(Z,Y)),
% 4.98/1.26    inference(cnf_transformation,[],['$inc_t1_xboole_1_$sk'])).
% 4.98/1.26  cnf('2', plain, (r1_tarski(X,$sk8(Y,Z,U,V,X)) | ~m1_subset_1(V,k1_zfmisc_1(k1_closure2(Z,Y))) | ~m1_subset_1(U,k1_zfmisc_1(k1_closure2(Z,Y))) | ~r1_closure3(Z,Y,U,V) | ~r2_hidden(X,V) | ~m1_pboole(Y,Z)),
% 4.98/1.26    inference(cnf_transformation,[],['d1_closure3_$sk'])).
% 4.98/1.26  cnf('3', plain, (m1_subset_1($sk4,k1_zfmisc_1(k1_closure2($sk2,$sk1)))),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('4', plain, (m1_pboole($sk1,$sk2)),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('5', plain, (r1_tarski(X,$sk8($sk1,$sk2,Y,$sk4,X)) | ~m1_subset_1(Y,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | ~r1_closure3($sk2,$sk1,Y,$sk4) | ~r2_hidden(X,$sk4)),
% 4.98/1.26    inference(resolution,[then_simplify],['2','3','4'])).
% 4.98/1.26  cnf('6', plain, (m1_subset_1($sk5,k1_zfmisc_1(k1_closure2($sk2,$sk1)))),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('7', plain, (r1_closure3($sk2,$sk1,$sk5,$sk4)),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('8', plain, (r1_tarski(X,$sk8($sk1,$sk2,$sk5,$sk4,X)) | ~r2_hidden(X,$sk4)),
% 4.98/1.26    inference(resolution,[then_simplify],['5','6','7'])).
% 4.98/1.26  cnf('9', plain, (r2_hidden($sk8(X,Y,Z,U,V),Z) | ~m1_subset_1(U,k1_zfmisc_1(k1_closure2(Y,X))) | ~m1_subset_1(Z,k1_zfmisc_1(k1_closure2(Y,X))) | ~r1_closure3(Y,X,Z,U) | ~r2_hidden(V,U) | ~m1_pboole(X,Y)),
% 4.98/1.26    inference(cnf_transformation,[],['d1_closure3_$sk'])).
% 4.98/1.26  cnf('10', plain, (m1_subset_1($sk3,k1_zfmisc_1(k1_closure2($sk2,$sk1)))),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('11', plain, (r2_hidden($sk8($sk1,$sk2,X,$sk3,Y),X) | ~m1_subset_1(X,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | ~r1_closure3($sk2,$sk1,X,$sk3) | ~r2_hidden(Y,$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['9','10','4'])).
% 4.98/1.26  cnf('12', plain, (r1_closure3($sk2,$sk1,$sk4,$sk3)),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('13', plain, (r2_hidden($sk8($sk1,$sk2,$sk4,$sk3,X),$sk4) | ~r2_hidden(X,$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['11','3','12'])).
% 4.98/1.26  cnf('14', plain, (r2_hidden($sk9(X,Y,Z,U),U) | ~m1_subset_1(U,k1_zfmisc_1(k1_closure2(Y,X))) | ~m1_subset_1(Z,k1_zfmisc_1(k1_closure2(Y,X))) | r1_closure3(Y,X,Z,U) | ~m1_pboole(X,Y)),
% 4.98/1.26    inference(cnf_transformation,[],['d1_closure3_$sk'])).
% 4.98/1.26  cnf('15', plain, (r2_hidden($sk9($sk1,$sk2,X,$sk3),$sk3) | ~m1_subset_1(X,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | r1_closure3($sk2,$sk1,X,$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['14','10','4'])).
% 4.98/1.26  cnf('16', plain, (~r1_closure3($sk2,$sk1,$sk5,$sk3)),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('17', plain, (r2_hidden($sk9($sk1,$sk2,$sk5,$sk3),$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['15','6','16'])).
% 4.98/1.26  cnf('18', plain, (r2_hidden($sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3)),$sk4)),
% 4.98/1.26    inference(resolution,[],['13','17'])).
% 4.98/1.26  cnf('19', plain, (r1_tarski($sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3)),$sk8($sk1,$sk2,$sk5,$sk4,$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3))))),
% 4.98/1.26    inference(resolution,[],['8','18'])).
% 4.98/1.26  cnf('20', plain, (r1_tarski(X,$sk8($sk1,$sk2,$sk5,$sk4,$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3)))) | ~r1_tarski(X,$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3)))),
% 4.98/1.26    inference(resolution,[],['1','19'])).
% 4.98/1.26  cnf('21', plain, (r1_tarski(X,$sk8($sk1,$sk2,Y,$sk3,X)) | ~m1_subset_1(Y,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | ~r1_closure3($sk2,$sk1,Y,$sk3) | ~r2_hidden(X,$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['2','10','4'])).
% 4.98/1.26  cnf('22', plain, (r1_tarski(X,$sk8($sk1,$sk2,$sk4,$sk3,X)) | ~r2_hidden(X,$sk3)),
% 4.98/1.26    inference(resolution,[then_simplify],['21','3','12'])).
% 4.98/1.26  cnf('23', plain, (r1_tarski($sk9($sk1,$sk2,$sk5,$sk3),$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3)))),
% 4.98/1.26    inference(resolution,[],['22','17'])).
% 4.98/1.26  cnf('24', plain, (r1_tarski($sk9($sk1,$sk2,$sk5,$sk3),$sk8($sk1,$sk2,$sk5,$sk4,$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3))))),
% 4.98/1.26    inference(resolution,[],['20','23'])).
% 4.98/1.26  cnf('25', plain, (~r1_tarski($sk9(X,Y,Z,U),V) | ~m1_subset_1(U,k1_zfmisc_1(k1_closure2(Y,X))) | ~m1_subset_1(Z,k1_zfmisc_1(k1_closure2(Y,X))) | r1_closure3(Y,X,Z,U) | ~r2_hidden(V,Z) | ~m1_pboole(X,Y)),
% 4.98/1.26    inference(cnf_transformation,[],['d1_closure3_$sk'])).
% 4.98/1.26  cnf('26', plain, (~r1_tarski($sk9($sk1,$sk2,X,$sk3),Y) | ~m1_subset_1(X,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | r1_closure3($sk2,$sk1,X,$sk3) | ~r2_hidden(Y,X)),
% 4.98/1.26    inference(resolution,[then_simplify],['25','10','4'])).
% 4.98/1.26  cnf('27', plain, (m1_subset_1($sk5,k1_zfmisc_1(k1_closure2($sk2,$sk1)))),
% 4.98/1.26    inference(cnf_transformation,[],['t4_closure3_$sk'])).
% 4.98/1.26  cnf('28', plain, (r2_hidden($sk8($sk1,$sk2,X,$sk4,Y),X) | ~m1_subset_1(X,k1_zfmisc_1(k1_closure2($sk2,$sk1))) | ~r1_closure3($sk2,$sk1,X,$sk4) | ~r2_hidden(Y,$sk4)),
% 4.98/1.26    inference(resolution,[then_simplify],['9','3','4'])).
% 4.98/1.26  cnf('29', plain, (r2_hidden($sk8($sk1,$sk2,$sk5,$sk4,X),$sk5) | ~r2_hidden(X,$sk4)),
% 4.98/1.26    inference(resolution,[then_simplify],['28','6','7'])).
% 4.98/1.26  cnf('30', plain, (r2_hidden($sk8($sk1,$sk2,$sk5,$sk4,$sk8($sk1,$sk2,$sk4,$sk3,$sk9($sk1,$sk2,$sk5,$sk3))),$sk5)),
% 4.98/1.26    inference(resolution,[],['18','29'])).
% 4.98/1.26  cnf('31', plain, ($false),
% 4.98/1.26    inference(resolution,[then_simplify],['24','26','27','16','30'])).
% 4.98/1.26  
% 4.98/1.26  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.98/1.26  
% 4.98/1.26  run 20 fork 3 statistics:
% 4.98/1.26  ----------------------------------
% 4.98/1.26  this run seconds: 0.030712
% 4.98/1.26  total seconds: 0.559949
% 4.98/1.26  stat_given_used: 631
% 4.98/1.26  stat_given_used_at_endgame: 0
% 4.98/1.26  stat_given_candidates:   1127
% 4.98/1.26  stat_given_candidates_at_endgame: 0
% 4.98/1.26  stat_given_candidates_h: 0
% 4.98/1.26  stat_binres_derived_cl:   1411
% 4.98/1.26  stat_binres_derived_cl_h: 0
% 4.98/1.26  stat_factor_derived_cl: 27
% 4.98/1.26  stat_para_derived_cl: 861
% 4.98/1.26  stat_tautologies_discarded: 12
% 4.98/1.26  stat_forward_subsumed: 342
% 4.98/1.26  stat_derived_cut: 65
% 4.98/1.26  stat_derived_rewritten: 13
% 4.98/1.26  stat_weight_discarded_building: 0
% 4.98/1.26  stat_weight_discarded_cl: 0
% 4.98/1.26  stat_internlimit_discarded_cl: 0
% 4.98/1.26  stat_simplified:  13 simplified 0 derived 0 given
% 4.98/1.26  stat_kept_cl: 1698
% 4.98/1.26  stat_built_cl: 2973
% 4.98/1.26  stat_hyperres_partial_cl: 0
% 4.98/1.26  stat_made_rewriters: 85
% 4.98/1.26  stat_backward_subsumed: 0
% 4.98/1.26  stat_propagated_subsumed: 0
% 4.98/1.26  stat_clsubs_attempted:                      2457
% 4.98/1.26  stat_clsubs_fact_groundunit_found:            44
% 4.98/1.26  stat_clsubs_rule_groundunit_found:            23
% 4.98/1.26  stat_clsubs_top_meta_attempted:             151988
% 4.98/1.26  stat_clsubs_top_meta_failed:                149531
% 4.98/1.26  stat_clsubs_top_meta_nonpref_attempted:              151988
% 4.98/1.26  stat_clsubs_top_meta_nonpref_succeeded:               39379
% 4.98/1.26  stat_clsubs_top_meta_pref_attempted:                  39379
% 4.98/1.26  stat_clsubs_top_meta_pref1_succeeded:                  7335
% 4.98/1.26  stat_clsubs_top_meta_pref2_succeeded:                  2625
% 4.98/1.26  stat_clsubs_top_meta_pref3_succeeded:                  2457
% 4.98/1.26  stat_clsubs_top_meta_pref_succeeded:                   2457
% 4.98/1.26  stat_clsubs_meta_attempted:                 4273
% 4.98/1.26  stat_clsubs_meta_failed:                    2182
% 4.98/1.26  stat_clsubs_predsymbs_attempted:               0
% 4.98/1.26  stat_clsubs_unit_attempted:                  733
% 4.98/1.26  stat_clsubs_full_attempted:                 1724
% 4.98/1.26  stat_forwardsubs_attempted:                 2041
% 4.98/1.26  stat_lit_hash_added:                   3099
% 4.98/1.26  stat_lit_hash_computed:               10862
% 4.98/1.26  stat_lit_hash_match_found:              486
% 4.98/1.26  stat_lit_hash_match_miss:             10770
% 4.98/1.26  stat_lit_hash_cut_ok:                    74
% 4.98/1.26  stat_lit_strong_cut_ok:                   2
% 4.98/1.26  stat_lit_hash_subsume_ok:               342
% 4.98/1.26  clqueue els 10000000 used 1
% 4.98/1.26  clactive els 10000000 used 632
% 4.98/1.26  clactivesubsume els 10000000 used 2665
% 4.98/1.26  queue_termbuf els 200000000 used 98468
% 4.98/1.26  hyper_termbuf els 100000000 used 1
% 4.98/1.26  active_termbuf els 100000000 used 25115
% 4.98/1.26  varstack els 5000 last used 1
% 4.98/1.26  given_termbuf els 10000000 last used 1
% 4.98/1.26  simplified_termbuf els 10000000 last used 1
% 4.98/1.26  derived_termbuf els 10000000 last used 86
% 4.98/1.26  wr_mallocs: 13977
% 4.98/1.26  wr_callocs: 21
% 4.98/1.26  wr_reallocs: 681
% 4.98/1.26  wr_frees: 4
% 4.98/1.26  wr_malloc_bytes: 4163083092
% 4.98/1.26  wr_calloc_bytes: 112065536
% 4.98/1.26  wr_realloc_bytes: 760456
% 4.98/1.26  wr_realloc_freebytes: 0
% 4.98/1.26  ----------------------------------
%------------------------------------------------------------------------------