TSTP Solution File: REL001+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.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 13:39:44 EDT 2023

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : gkc %s
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri Aug 25 19:33:40 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    14
% 0.19/0.38  in_rule_clause_count:               14
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              1
% 0.19/0.38  in_unit_clause_count:               14
% 0.19/0.38  in_horn_clause_count:               14
% 0.19/0.38  in_pos_clause_count:                13
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:              13
% 0.19/0.38  in_negeq_clause_count:               1
% 0.19/0.38  in_unitposeq_clause_count:          13
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             1
% 0.19/0.38  in_min_depth:              2
% 0.19/0.38  in_max_depth:              5
% 0.19/0.38  in_min_size:               5
% 0.19/0.38  in_max_size:              14
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               3
% 0.19/0.38  in_extaxiom_count:                13
% 0.19/0.38  in_axiom_count:                    0
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     1
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":3},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":3},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":4},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":4},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":5},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.19/0.38  
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.19/0.38  {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
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% 0.19/0.38  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":30},
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% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 2: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 3: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  result: proof found
% 0.19/0.50  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  fof('$inc_maddux1_join_commutativity_$sk', plain, (join(X2,X1) = join(X1,X2)),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_maddux1_join_commutativity'])).
% 0.19/0.50  fof('$inc_maddux1_join_commutativity', axiom, (! [X0,X1] : (join(X0,X1) = join(X1,X0))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_def_top_$sk', plain, (top = join(X1,complement(X1))),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_def_top'])).
% 0.19/0.50  fof('$inc_def_top', axiom, (! [X0] : (top = join(X0,complement(X0)))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_maddux3_a_kind_of_de_Morgan_$sk', plain, (X2 = join(complement(join(complement(X2),complement(X1))),complement(join(complement(X2),X1)))),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_maddux3_a_kind_of_de_Morgan'])).
% 0.19/0.50  fof('$inc_maddux3_a_kind_of_de_Morgan', axiom, (! [X0,X1] : (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_maddux4_definiton_of_meet_$sk', plain, (meet(X2,X1) = complement(join(complement(X2),complement(X1)))),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_maddux4_definiton_of_meet'])).
% 0.19/0.50  fof('$inc_maddux4_definiton_of_meet', axiom, (! [X0,X1] : (meet(X0,X1) = complement(join(complement(X0),complement(X1))))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_composition_identity_$sk', plain, (composition(X1,one) = X1),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_composition_identity'])).
% 0.19/0.50  fof('$inc_composition_identity', axiom, (! [X0] : (composition(X0,one) = X0)),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_converse_idempotence_$sk', plain, (converse(converse(X1)) = X1),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_converse_idempotence'])).
% 0.19/0.50  fof('$inc_converse_idempotence', axiom, (! [X0] : (converse(converse(X0)) = X0)),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_converse_multiplicativity_$sk', plain, (converse(composition(X2,X1)) = composition(converse(X1),converse(X2))),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_converse_multiplicativity'])).
% 0.19/0.50  fof('$inc_converse_multiplicativity', axiom, (! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0)))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_converse_cancellativity_$sk', plain, (join(composition(converse(X2),complement(composition(X2,X1))),complement(X1)) = complement(X1)),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_converse_cancellativity'])).
% 0.19/0.50  fof('$inc_converse_cancellativity', axiom, (! [X0,X1] : (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_def_zero_$sk', plain, (zero = meet(X1,complement(X1))),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_def_zero'])).
% 0.19/0.50  fof('$inc_def_zero', axiom, (! [X0] : (zero = meet(X0,complement(X0)))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('$inc_maddux2_join_associativity_$sk', plain, (join(X3,join(X1,X2)) = join(join(X3,X1),X2)),
% 0.19/0.50    inference(negpush_and_skolemize,[],['$inc_maddux2_join_associativity'])).
% 0.19/0.50  fof('$inc_maddux2_join_associativity', axiom, (! [X0,X1,X2] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2))),
% 0.19/0.50    input). 
% 0.19/0.50  fof('goals_$sk', plain, ~(join(zero,$sk1) = $sk1),
% 0.19/0.50    inference(negpush_and_skolemize,[],['goals'])).
% 0.19/0.50  fof('goals', conjecture, (! [X0] : (join(zero,X0) = X0)),
% 0.19/0.50    input). 
% 0.19/0.50  cnf('1', plain, (join(X,Y) = join(Y,X)),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_maddux1_join_commutativity_$sk'])).
% 0.19/0.50  cnf('2', plain, (top = join(X,complement(X))),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_def_top_$sk'])).
% 0.19/0.50  cnf('3', plain, (top = join(complement(X),X)),
% 0.19/0.50    inference(paramodulation,[],['1','2'])).
% 0.19/0.50  cnf('4', plain, (X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_maddux3_a_kind_of_de_Morgan_$sk'])).
% 0.19/0.50  cnf('5', plain, (meet(X,Y) = complement(join(complement(X),complement(Y)))),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_maddux4_definiton_of_meet_$sk'])).
% 0.19/0.50  cnf('6', plain, (X = join(meet(X,Y),complement(join(complement(X),Y)))),
% 0.19/0.50    inference(simplify,[],['4','5'])).
% 0.19/0.50  cnf('7', plain, (X3 = join(meet(X3,X3),complement(top))),
% 0.19/0.50    inference(paramodulation,[],['3','6'])).
% 0.19/0.50  cnf('8', plain, (composition(X,one) = X),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_composition_identity_$sk'])).
% 0.19/0.50  cnf('9', plain, (converse(converse(X)) = X),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_converse_idempotence_$sk'])).
% 0.19/0.50  cnf('10', plain, (converse(composition(X,Y)) = composition(converse(Y),converse(X))),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_converse_multiplicativity_$sk'])).
% 0.19/0.50  cnf('11', plain, (converse(composition(converse(X),Y)) = composition(converse(Y),X)),
% 0.19/0.50    inference(paramodulation,[],['9','10'])).
% 0.19/0.50  cnf('12', plain, (converse(converse(X3)) = composition(converse(one),X3)),
% 0.19/0.50    inference(paramodulation,[],['8','11'])).
% 0.19/0.50  cnf('13', plain, (X = composition(converse(one),X)),
% 0.19/0.50    inference(simplify,[],['12','9'])).
% 0.19/0.50  cnf('14', plain, (join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y)),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_converse_cancellativity_$sk'])).
% 0.19/0.50  cnf('15', plain, (join(complement(composition(one,X3)),complement(X3)) = complement(X3)),
% 0.19/0.50    inference(paramodulation,[],['13','14'])).
% 0.19/0.50  cnf('16', plain, (one = converse(one)),
% 0.19/0.50    inference(paramodulation,[],['13','8'])).
% 0.19/0.50  cnf('17', plain, (X = composition(one,X)),
% 0.19/0.50    inference(paramodulation,[],['16','13'])).
% 0.19/0.50  cnf('18', plain, (join(complement(X),complement(X)) = complement(X)),
% 0.19/0.50    inference(simplify,[],['15','17'])).
% 0.19/0.50  cnf('19', plain, (meet(X,X) = complement(complement(X))),
% 0.19/0.50    inference(paramodulation,[],['18','5'])).
% 0.19/0.50  cnf('20', plain, (meet(X3,complement(X3)) = complement(top)),
% 0.19/0.50    inference(paramodulation,[],['2','5'])).
% 0.19/0.50  cnf('21', plain, (zero = meet(X,complement(X))),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_def_zero_$sk'])).
% 0.19/0.50  cnf('22', plain, (zero = complement(top)),
% 0.19/0.50    inference(simplify,[],['20','21'])).
% 0.19/0.50  cnf('23', plain, (X = join(complement(complement(X)),zero)),
% 0.19/0.50    inference(simplify,[then_simplify],['7','19','22'])).
% 0.19/0.50  cnf('24', plain, (join(zero,complement(top)) = complement(top)),
% 0.19/0.50    inference(paramodulation,[],['22','18'])).
% 0.19/0.50  cnf('25', plain, (join(zero,zero) = zero),
% 0.19/0.50    inference(simplify,[then_simplify],['24','22','22'])).
% 0.19/0.50  cnf('26', plain, (join(X,join(Y,Z)) = join(join(X,Y),Z)),
% 0.19/0.50    inference(cnf_transformation,[],['$inc_maddux2_join_associativity_$sk'])).
% 0.19/0.50  cnf('27', plain, (join(X,zero) = join(join(X,zero),zero)),
% 0.19/0.50    inference(paramodulation,[],['25','26'])).
% 0.19/0.50  cnf('28', plain, (join(zero,join(X,zero)) = join(X,zero)),
% 0.19/0.50    inference(paramodulation,[],['27','1'])).
% 0.19/0.50  cnf('29', plain, (join(zero,X3) = join(complement(complement(X3)),zero)),
% 0.19/0.50    inference(paramodulation,[],['23','28'])).
% 0.19/0.50  cnf('30', plain, (join(zero,X) = X),
% 0.19/0.50    inference(simplify,[],['29','23'])).
% 0.19/0.50  cnf('31', plain, (join(zero,$sk1) != $sk1),
% 0.19/0.50    inference(cnf_transformation,[],['goals_$sk'])).
% 0.19/0.50  cnf('32', plain, ($false),
% 0.19/0.50    inference(resolution,[],['30','31'])).
% 0.19/0.50  
% 0.19/0.50  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  
% 0.19/0.50  run 5 fork 4 statistics:
% 0.19/0.50  ----------------------------------
% 0.19/0.50  this run seconds: 0.099429
% 0.19/0.50  total seconds: 0.123233
% 0.19/0.50  stat_given_used: 241
% 0.19/0.50  stat_given_used_at_endgame: 145
% 0.19/0.50  stat_given_candidates:   990
% 0.19/0.50  stat_given_candidates_at_endgame: 687
% 0.19/0.50  stat_given_candidates_h: 0
% 0.19/0.50  stat_binres_derived_cl:   1
% 0.19/0.50  stat_binres_derived_cl_h: 0
% 0.19/0.50  stat_factor_derived_cl: 0
% 0.19/0.50  stat_para_derived_cl: 13817
% 0.19/0.50  stat_tautologies_discarded: 0
% 0.19/0.50  stat_forward_subsumed: 3772
% 0.19/0.50  stat_derived_cut: 0
% 0.19/0.50  stat_derived_rewritten: 180
% 0.19/0.50  stat_weight_discarded_building: 0
% 0.19/0.50  stat_weight_discarded_cl: 3621
% 0.19/0.50  stat_internlimit_discarded_cl: 0
% 0.19/0.50  stat_simplified:  180 simplified 0 derived 0 given
% 0.19/0.50  stat_kept_cl: 5671
% 0.19/0.50  stat_built_cl: 9954
% 0.19/0.50  stat_hyperres_partial_cl: 0
% 0.19/0.50  stat_made_rewriters: 118
% 0.19/0.50  stat_backward_subsumed: 0
% 0.19/0.50  stat_propagated_subsumed: 0
% 0.19/0.50  stat_clsubs_attempted:                      2447
% 0.19/0.50  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.50  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.50  stat_clsubs_top_meta_attempted:              13910
% 0.19/0.50  stat_clsubs_top_meta_failed:                 11463
% 0.19/0.50  stat_clsubs_top_meta_nonpref_attempted:               13910
% 0.19/0.50  stat_clsubs_top_meta_nonpref_succeeded:                5919
% 0.19/0.50  stat_clsubs_top_meta_pref_attempted:                   5919
% 0.19/0.50  stat_clsubs_top_meta_pref1_succeeded:                  5918
% 0.19/0.50  stat_clsubs_top_meta_pref2_succeeded:                  3401
% 0.19/0.50  stat_clsubs_top_meta_pref3_succeeded:                  2447
% 0.19/0.50  stat_clsubs_top_meta_pref_succeeded:                   2447
% 0.19/0.50  stat_clsubs_meta_attempted:                 2447
% 0.19/0.50  stat_clsubs_meta_failed:                      19
% 0.19/0.50  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.50  stat_clsubs_unit_attempted:                 2447
% 0.19/0.50  stat_clsubs_full_attempted:                    0
% 0.19/0.50  stat_forwardsubs_attempted:                13064
% 0.19/0.50  stat_lit_hash_added:                   5706
% 0.19/0.50  stat_lit_hash_computed:               19236
% 0.19/0.50  stat_lit_hash_match_found:             3887
% 0.19/0.50  stat_lit_hash_match_miss:             19115
% 0.19/0.50  stat_lit_hash_cut_ok:                     0
% 0.19/0.50  stat_lit_strong_cut_ok:                   0
% 0.19/0.50  stat_lit_hash_subsume_ok:              3772
% 0.19/0.50  clqueue els 10000000 used 1
% 0.19/0.50  clactive els 10000000 used 242
% 0.19/0.50  clactivesubsume els 10000000 used 1321
% 0.19/0.50  queue_termbuf els 200000000 used 391274
% 0.19/0.50  hyper_termbuf els 100000000 used 1
% 0.19/0.50  active_termbuf els 100000000 used 9491
% 0.19/0.50  varstack els 5000 last used 1
% 0.19/0.50  given_termbuf els 10000000 last used 21
% 0.19/0.50  simplified_termbuf els 10000000 last used 1
% 0.19/0.50  derived_termbuf els 10000000 last used 3
% 0.19/0.50  wr_mallocs: 22638
% 0.19/0.50  wr_callocs: 21
% 0.19/0.50  wr_reallocs: 1195
% 0.19/0.50  wr_frees: 2
% 0.19/0.50  wr_malloc_bytes: 4163373284
% 0.19/0.50  wr_calloc_bytes: 112065536
% 0.19/0.50  wr_realloc_bytes: 195736
% 0.19/0.50  wr_realloc_freebytes: 0
% 0.19/0.50  ----------------------------------
%------------------------------------------------------------------------------