TSTP Solution File: SYN986+1.003 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN986+1.003 : TPTP v8.1.2. Released 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 : Fri Sep  1 03:04:31 EDT 2023

% Result   : Theorem 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : gkc %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Sat Aug 26 17:51:29 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.15/0.33  
% 0.15/0.33  input clause set summed statistics:
% 0.15/0.33  ----------------------------------
% 0.15/0.33  in_clause_count:                     3
% 0.15/0.33  in_rule_clause_count:                3
% 0.15/0.33  in_fact_clause_count:                0
% 0.15/0.33  in_answer_clause_count:              0
% 0.15/0.33  in_ground_clause_count:              0
% 0.15/0.33  in_unit_clause_count:                1
% 0.15/0.33  in_horn_clause_count:                3
% 0.15/0.33  in_pos_clause_count:                 1
% 0.15/0.33  in_neg_clause_count:                 1
% 0.15/0.33  in_poseq_clause_count:               0
% 0.15/0.33  in_negeq_clause_count:               0
% 0.15/0.33  in_unitposeq_clause_count:           0
% 0.15/0.33  in_chain_clause_count:               0
% 0.15/0.33  in_min_length:             1
% 0.15/0.33  in_max_length:             4
% 0.15/0.33  in_min_depth:              1
% 0.15/0.33  in_max_depth:              2
% 0.15/0.33  in_min_size:               5
% 0.15/0.33  in_max_size:              16
% 0.15/0.33  in_min_vars:               1
% 0.15/0.33  in_max_vars:               4
% 0.15/0.33  in_extaxiom_count:                 2
% 0.15/0.33  in_axiom_count:                    0
% 0.15/0.33  in_assumption_count:               0
% 0.15/0.33  in_goal_count:                     1
% 0.15/0.33  in_neg_goal_count:                 1
% 0.15/0.33  in_pos_goal_count:                 0
% 0.15/0.33  in_posunit_goal_count:             0
% 0.15/0.33  
% 0.15/0.33  auto guide:
% 0.15/0.33  -----------
% 0.15/0.33  {
% 0.15/0.33  "print":1,
% 0.15/0.33  "print_level": 15,
% 0.15/0.33  "max_size": 0,
% 0.15/0.33  "max_depth": 0,
% 0.15/0.33  "max_length": 0,
% 0.15/0.33  "max_dseconds": 0,
% 0.15/0.33  "equality":0,
% 0.15/0.33  "runs":[
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.15/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.15/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.15/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.15/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.15/0.33  
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.15/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.15/0.33  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.15/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.15/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.15/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.15/0.33  
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.15/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.15/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.15/0.33  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.15/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.15/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.15/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.15/0.33  
% 0.15/0.33  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.33  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.15/0.33  
% 0.15/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.33  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.15/0.33  
% 0.15/0.33  ]}
% 0.15/0.33  
% 0.15/0.33  
% 0.15/0.33  **** run 1 fork 0 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.33  
% 0.15/0.33  **** run 2 fork 1 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.15/0.33  
% 0.15/0.33  **** run 3 fork 2 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.33  
% 0.15/0.33  **** run 4 fork 3 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.15/0.33  
% 0.15/0.33  **** run 5 fork 4 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.15/0.33  
% 0.15/0.33  **** run 6 fork 5 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.15/0.33  
% 0.15/0.33  **** run 7 fork 6 starts with strategy
% 0.15/0.33  
% 0.15/0.33  **** run 8 fork 7 starts with strategy
% 0.15/0.33  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.15/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.15/0.36  
% 0.15/0.36  
% 0.15/0.36  result: proof found
% 0.15/0.36  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.36  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.36  
% 0.15/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.36  fof('$inc_hyp2_$sk', plain, ((r(X4,succ(X3),X2) | ~r(X1,X3,X2)) | ~r(X4,X3,X1)),
% 0.15/0.36    inference(negpush_and_skolemize,[],['$inc_hyp2'])).
% 0.15/0.36  fof('$inc_hyp2', axiom, (! [Y,X,Z,Z1] : (r(Y,X,Z) => (r(Z,X,Z1) => r(Y,succ(X),Z1)))),
% 0.15/0.36    input). 
% 0.15/0.36  fof('$inc_hyp1_$sk', plain, r(X1,zero,succ(X1)),
% 0.15/0.36    inference(negpush_and_skolemize,[],['$inc_hyp1'])).
% 0.15/0.36  fof('$inc_hyp1', axiom, (! [Y] : r(Y,zero,succ(Y))),
% 0.15/0.36    input). 
% 0.15/0.36  fof('ck_$sk', plain, (~r(zero,X4,X3) | (~r(zero,X1,X4) | (~r(zero,X2,X1) | ~r(zero,zero,X2)))),
% 0.15/0.36    inference(negpush_and_skolemize,[],['ck'])).
% 0.15/0.36  fof('ck', conjecture, (? [Z3,Z2,Z1,Z0] : (((r(zero,zero,Z3) & r(zero,Z3,Z2)) & r(zero,Z2,Z1)) & r(zero,Z1,Z0))),
% 0.15/0.36    input). 
% 0.15/0.36  cnf('1', plain, (r(X,succ(Y),Z) | ~r(U,Y,Z) | ~r(X,Y,U)),
% 0.15/0.36    inference(cnf_transformation,[],['$inc_hyp2_$sk'])).
% 0.15/0.36  cnf('2', plain, (r(X,zero,succ(X))),
% 0.15/0.36    inference(cnf_transformation,[],['$inc_hyp1_$sk'])).
% 0.15/0.36  cnf('3', plain, (r(X,succ(zero),succ(Y)) | ~r(X,zero,Y)),
% 0.15/0.36    inference(resolution,[],['1','2'])).
% 0.15/0.36  cnf('4', plain, (r(X,succ(zero),succ(succ(X)))),
% 0.15/0.36    inference(resolution,[],['3','2'])).
% 0.15/0.36  cnf('5', plain, (r(X,succ(succ(zero)),succ(succ(Y))) | ~r(X,succ(zero),Y)),
% 0.15/0.36    inference(resolution,[],['4','1'])).
% 0.15/0.36  cnf('6', plain, (r(X,succ(succ(zero)),succ(succ(succ(succ(X)))))),
% 0.15/0.36    inference(resolution,[],['5','4'])).
% 0.15/0.36  cnf('7', plain, (r(X,succ(succ(succ(zero))),succ(succ(succ(succ(Y))))) | ~r(X,succ(succ(zero)),Y)),
% 0.15/0.36    inference(resolution,[],['6','1'])).
% 0.15/0.36  cnf('8', plain, (r(X,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X)))))))))),
% 0.15/0.36    inference(resolution,[],['7','6'])).
% 0.15/0.36  cnf('9', plain, (r(X,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(Y))))))))) | ~r(X,succ(succ(succ(zero))),Y)),
% 0.15/0.36    inference(resolution,[],['8','1'])).
% 0.15/0.36  cnf('10', plain, (r(X,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X)))))))))))))))))),
% 0.15/0.36    inference(resolution,[],['9','8'])).
% 0.15/0.36  cnf('11', plain, (~r(zero,zero,X) | ~r(zero,X,Y) | ~r(zero,Y,Z) | ~r(zero,Z,U)),
% 0.15/0.36    inference(cnf_transformation,[],['ck_$sk'])).
% 0.15/0.36  cnf('12', plain, (~r(zero,succ(zero),X) | ~r(zero,Y,Z) | ~r(zero,X,Y)),
% 0.15/0.36    inference(resolution,[],['2','11'])).
% 0.15/0.36  cnf('13', plain, (~r(zero,succ(succ(zero)),X) | ~r(zero,X,Y)),
% 0.15/0.36    inference(resolution,[],['12','4'])).
% 0.15/0.36  cnf('14', plain, (~r(zero,succ(succ(succ(succ(zero)))),X)),
% 0.15/0.36    inference(resolution,[],['6','13'])).
% 0.15/0.36  cnf('15', plain, ($false),
% 0.15/0.36    inference(resolution,[],['10','14'])).
% 0.15/0.36  
% 0.15/0.36  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.36  
% 0.15/0.36  run 3 fork 2 statistics:
% 0.15/0.36  ----------------------------------
% 0.15/0.36  this run seconds: 0.010968
% 0.15/0.36  total seconds: 0.031518
% 0.15/0.36  stat_given_used: 30
% 0.15/0.36  stat_given_used_at_endgame: 0
% 0.15/0.36  stat_given_candidates:   37
% 0.15/0.36  stat_given_candidates_at_endgame: 0
% 0.15/0.36  stat_given_candidates_h: 0
% 0.15/0.36  stat_binres_derived_cl:   22
% 0.15/0.36  stat_binres_derived_cl_h: 0
% 0.15/0.36  stat_factor_derived_cl: 27
% 0.15/0.36  stat_para_derived_cl: 0
% 0.15/0.36  stat_tautologies_discarded: 0
% 0.15/0.36  stat_forward_subsumed: 13
% 0.15/0.36  stat_derived_cut: 0
% 0.15/0.36  stat_derived_rewritten: 0
% 0.15/0.36  stat_weight_discarded_building: 0
% 0.15/0.36  stat_weight_discarded_cl: 0
% 0.15/0.36  stat_internlimit_discarded_cl: 0
% 0.15/0.36  stat_simplified:  0 simplified 0 derived 0 given
% 0.15/0.36  stat_kept_cl: 35
% 0.15/0.36  stat_built_cl: 95
% 0.15/0.36  stat_hyperres_partial_cl: 0
% 0.15/0.36  stat_made_rewriters: 0
% 0.15/0.36  stat_backward_subsumed: 0
% 0.15/0.36  stat_propagated_subsumed: 0
% 0.15/0.36  stat_clsubs_attempted:                        59
% 0.15/0.36  stat_clsubs_fact_groundunit_found:             0
% 0.15/0.36  stat_clsubs_rule_groundunit_found:             0
% 0.15/0.36  stat_clsubs_top_meta_attempted:                364
% 0.15/0.36  stat_clsubs_top_meta_failed:                   305
% 0.15/0.36  stat_clsubs_top_meta_nonpref_attempted:                 364
% 0.15/0.36  stat_clsubs_top_meta_nonpref_succeeded:                  99
% 0.15/0.36  stat_clsubs_top_meta_pref_attempted:                     99
% 0.15/0.36  stat_clsubs_top_meta_pref1_succeeded:                    77
% 0.15/0.36  stat_clsubs_top_meta_pref2_succeeded:                    77
% 0.15/0.36  stat_clsubs_top_meta_pref3_succeeded:                    59
% 0.15/0.36  stat_clsubs_top_meta_pref_succeeded:                     59
% 0.15/0.36  stat_clsubs_meta_attempted:                  139
% 0.15/0.36  stat_clsubs_meta_failed:                      36
% 0.15/0.36  stat_clsubs_predsymbs_attempted:               0
% 0.15/0.36  stat_clsubs_unit_attempted:                   22
% 0.15/0.36  stat_clsubs_full_attempted:                   37
% 0.15/0.36  stat_forwardsubs_attempted:                   48
% 0.15/0.36  stat_lit_hash_added:                     52
% 0.15/0.36  stat_lit_hash_computed:                 286
% 0.15/0.36  stat_lit_hash_match_found:               15
% 0.15/0.36  stat_lit_hash_match_miss:               342
% 0.15/0.36  stat_lit_hash_cut_ok:                     0
% 0.15/0.36  stat_lit_strong_cut_ok:                   0
% 0.15/0.36  stat_lit_hash_subsume_ok:                13
% 0.15/0.36  clqueue els 10000000 used 1
% 0.15/0.36  clactive els 10000000 used 31
% 0.15/0.36  clactivesubsume els 10000000 used 145
% 0.15/0.36  queue_termbuf els 200000000 used 1950
% 0.15/0.36  hyper_termbuf els 100000000 used 1
% 0.15/0.36  active_termbuf els 100000000 used 1263
% 0.15/0.36  varstack els 5000 last used 1
% 0.15/0.36  given_termbuf els 10000000 last used 1
% 0.15/0.36  simplified_termbuf els 10000000 last used 1
% 0.15/0.36  derived_termbuf els 10000000 last used 5
% 0.15/0.36  wr_mallocs: 209
% 0.15/0.36  wr_callocs: 21
% 0.15/0.36  wr_reallocs: 8
% 0.15/0.36  wr_frees: 2
% 0.15/0.36  wr_malloc_bytes: 4162585460
% 0.15/0.36  wr_calloc_bytes: 112065536
% 0.15/0.36  wr_realloc_bytes: 768
% 0.15/0.36  wr_realloc_freebytes: 0
% 0.15/0.36  ----------------------------------
%------------------------------------------------------------------------------