TSTP Solution File: LCL654+1.001 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 07:40:13 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 20:03:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                    16
% 0.21/0.40  in_rule_clause_count:               13
% 0.21/0.40  in_fact_clause_count:                3
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:              5
% 0.21/0.40  in_unit_clause_count:                6
% 0.21/0.40  in_horn_clause_count:               13
% 0.21/0.40  in_pos_clause_count:                 5
% 0.21/0.40  in_neg_clause_count:                 1
% 0.21/0.40  in_poseq_clause_count:               0
% 0.21/0.40  in_negeq_clause_count:               0
% 0.21/0.40  in_unitposeq_clause_count:           0
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:             6
% 0.21/0.40  in_min_depth:              1
% 0.21/0.40  in_max_depth:              2
% 0.21/0.40  in_min_size:               2
% 0.21/0.40  in_max_size:              21
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               4
% 0.21/0.40  in_extaxiom_count:                 0
% 0.21/0.40  in_axiom_count:                    1
% 0.21/0.40  in_assumption_count:               0
% 0.21/0.40  in_goal_count:                    15
% 0.21/0.40  in_neg_goal_count:                 1
% 0.21/0.40  in_pos_goal_count:                 4
% 0.21/0.40  in_posunit_goal_count:             4
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "equality":0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.40  
% 0.21/0.40  **** run 6 fork 5 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.41  
% 0.21/0.41  **** run 7 fork 6 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.42  
% 0.21/0.42  **** run 8 fork 7 starts with strategy
% 0.21/0.42  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.52  
% 0.21/0.52  fork 3: search finished without proof.
% 0.21/0.52  
% 0.21/0.52  fork 5: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 4: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 6: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 7: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 1: search finished without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  result: proof found
% 0.21/0.54  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.54  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.54  
% 0.21/0.54  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.54  fof('main_$sk', plain, (((p1(X1) | ~r1($sk2,X1)) & (((~p1($sk4) & r1($sk3,$sk4)) & r1($sk2,$sk3)) & r1($sk1,$sk2))) & (((~$false & r1(X2,$sk5(X2))) | ~r1($sk1,X2)) & (((((~p1($sk6(X3,X4)) & r1(X4,$sk6(X3,X4))) | ~r1(X3,X4)) | (((p1(X6) | ~r1($sk7(X3,X5),X6)) & r1(X5,$sk7(X3,X5))) | ~r1(X3,X5))) | ~r1($sk1,X3)) & (((((p1(X9) | ~r1(X8,X9)) | ((~p1($sk8(X7,X8,X10)) & r1(X10,$sk8(X7,X8,X10))) | ~r1(X8,X10))) | ~r1(X7,X8)) | ~r1($sk1,X7)) & ((~p1(X11) | ((p1($sk9(X11,X12)) & r1(X12,$sk9(X11,X12))) | ~r1(X11,X12))) | ~r1($sk1,X11)))))),
% 0.21/0.54    inference(negpush_and_skolemize,[],['main'])).
% 0.21/0.54  fof('main', conjecture, ~(? [X] : ~((((~(! [Y] : (~r1(X,Y) | ~(~(! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | ~p1(Y))))) & p1(Y)))) | ~(! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~(~(! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | p1(X))))) & ~(! [Y] : (~r1(X,Y) | p1(Y))))))))) | ~(! [Y] : (~r1(X,Y) | ~(~(! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | p1(X))))))) & ~(! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | p1(Y))))))))) | ~(! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | $false))))) | (! [Y] : ((~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | p1(Y)))))) | ~(! [X] : (~r1(Y,X) | p1(X))))))),
% 0.21/0.54    input). 
% 0.21/0.54  fof('reflexivity_$sk', plain, r1(X1,X1),
% 0.21/0.54    inference(negpush_and_skolemize,[],['reflexivity'])).
% 0.21/0.54  fof('reflexivity', axiom, (! [X] : r1(X,X)),
% 0.21/0.54    input). 
% 0.21/0.54  cnf('1', plain, (r1(X,$sk8(Y,Z,X)) | ~r1($sk1,Y) | ~r1(Z,U) | ~r1(Z,X) | ~r1(Y,Z) | p1(U)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('2', plain, (r1($sk1,$sk2)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('3', plain, (r1(X,$sk8($sk2,Y,X)) | ~r1($sk2,Y) | ~r1(Y,Z) | ~r1(Y,X) | p1(Z)),
% 0.21/0.54    inference(resolution,[],['1','2'])).
% 0.21/0.54  cnf('4', plain, (r1($sk2,$sk3)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('5', plain, (r1(X,$sk8($sk2,$sk3,X)) | ~r1($sk3,Y) | ~r1($sk3,X) | p1(Y)),
% 0.21/0.54    inference(resolution,[],['3','4'])).
% 0.21/0.54  cnf('6', plain, (r1($sk3,$sk4)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('7', plain, (~p1($sk4)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('8', plain, (r1(X,$sk8($sk2,$sk3,X)) | ~r1($sk3,X)),
% 0.21/0.54    inference(resolution,[then_simplify],['5','6','7'])).
% 0.21/0.54  cnf('9', plain, (r1(X,$sk7(Y,X)) | r1(Z,$sk6(Y,Z)) | ~r1($sk1,Y) | ~r1(Y,X) | ~r1(Y,Z)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('10', plain, (r1(X,$sk6($sk2,X)) | r1(Y,$sk7($sk2,Y)) | ~r1($sk2,X) | ~r1($sk2,Y)),
% 0.21/0.54    inference(resolution,[],['9','2'])).
% 0.21/0.54  cnf('11', plain, (r1(X,X)),
% 0.21/0.54    inference(cnf_transformation,[],['reflexivity_$sk'])).
% 0.21/0.54  cnf('12', plain, (r1($sk2,$sk6($sk2,$sk2)) | r1(X,$sk7($sk2,X)) | ~r1($sk2,X)),
% 0.21/0.54    inference(resolution,[],['10','11'])).
% 0.21/0.54  cnf('13', plain, (r1($sk3,$sk7($sk2,$sk3)) | r1($sk2,$sk6($sk2,$sk2))),
% 0.21/0.54    inference(resolution,[],['12','4'])).
% 0.21/0.54  cnf('14', plain, (r1($sk7($sk2,$sk3),$sk8($sk2,$sk3,$sk7($sk2,$sk3))) | r1($sk2,$sk6($sk2,$sk2))),
% 0.21/0.54    inference(resolution,[],['8','13'])).
% 0.21/0.54  cnf('15', plain, (~r1($sk7(X,Y),Z) | r1(U,$sk6(X,U)) | ~r1($sk1,X) | ~r1(X,Y) | ~r1(X,U) | p1(Z)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('16', plain, (r1($sk1,$sk2)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('17', plain, (r1($sk2,$sk3)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('18', plain, (p1($sk8($sk2,$sk3,$sk7($sk2,$sk3))) | r1($sk2,$sk6($sk2,$sk2)) | r1(X,$sk6($sk2,X)) | ~r1($sk2,X)),
% 0.21/0.54    inference(resolution,[then_simplify],['14','15','16','17'])).
% 0.21/0.54  cnf('19', plain, (r1(X0,X0)),
% 0.21/0.54    inference(cnf_transformation,[],['reflexivity_$sk'])).
% 0.21/0.54  cnf('20', plain, (p1($sk8($sk2,$sk3,$sk7($sk2,$sk3))) | r1($sk2,$sk6($sk2,$sk2))),
% 0.21/0.54    inference(factorization,[then_simplify],['18','19'])).
% 0.21/0.54  cnf('21', plain, (~p1($sk8(X,Y,Z)) | ~r1($sk1,X) | ~r1(Y,U) | ~r1(Y,Z) | ~r1(X,Y) | p1(U)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('22', plain, (~r1($sk3,$sk7($sk2,$sk3)) | r1($sk2,$sk6($sk2,$sk2)) | ~r1($sk3,X3) | p1(X3)),
% 0.21/0.54    inference(resolution,[then_simplify],['20','21','16','17'])).
% 0.21/0.54  cnf('23', plain, (r1($sk3,$sk7($sk2,$sk3)) | r1($sk2,$sk6($sk2,$sk2))),
% 0.21/0.54    inference(resolution,[],['12','4'])).
% 0.21/0.54  cnf('24', plain, (r1($sk2,$sk6($sk2,$sk2)) | ~r1($sk3,X) | p1(X)),
% 0.21/0.54    inference(simplify,[],['22','23'])).
% 0.21/0.54  cnf('25', plain, (r1($sk2,$sk6($sk2,$sk2))),
% 0.21/0.54    inference(resolution,[then_simplify],['24','6','7'])).
% 0.21/0.54  cnf('26', plain, (~r1($sk2,X) | p1(X)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('27', plain, (p1($sk6($sk2,$sk2))),
% 0.21/0.54    inference(resolution,[],['25','26'])).
% 0.21/0.54  cnf('28', plain, (r1(X,$sk7(Y,X)) | ~p1($sk6(Y,Z)) | ~r1($sk1,Y) | ~r1(Y,X) | ~r1(Y,Z)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('29', plain, (r1(X,$sk7($sk2,X)) | ~r1($sk2,X)),
% 0.21/0.54    inference(resolution,[then_simplify],['27','28','16','19'])).
% 0.21/0.54  cnf('30', plain, (r1($sk3,$sk7($sk2,$sk3))),
% 0.21/0.54    inference(resolution,[],['29','4'])).
% 0.21/0.54  cnf('31', plain, (r1($sk7($sk2,$sk3),$sk8($sk2,$sk3,$sk7($sk2,$sk3)))),
% 0.21/0.54    inference(resolution,[],['30','8'])).
% 0.21/0.54  cnf('32', plain, (~r1($sk7(X,Y),Z) | ~p1($sk6(X,U)) | ~r1($sk1,X) | ~r1(X,Y) | ~r1(X,U) | p1(Z)),
% 0.21/0.54    inference(cnf_transformation,[],['main_$sk'])).
% 0.21/0.54  cnf('33', plain, (p1($sk8($sk2,$sk3,$sk7($sk2,$sk3))) | ~p1($sk6($sk2,X)) | ~r1($sk2,X)),
% 0.21/0.54    inference(resolution,[then_simplify],['31','32','16','17'])).
% 0.21/0.54  cnf('34', plain, (p1($sk8($sk2,$sk3,$sk7($sk2,$sk3)))),
% 0.21/0.54    inference(resolution,[then_simplify],['33','27','19'])).
% 0.21/0.54  cnf('35', plain, (r1($sk3,$sk7($sk2,$sk3))),
% 0.21/0.54    inference(resolution,[],['29','4'])).
% 0.21/0.54  cnf('36', plain, (~r1($sk3,X) | p1(X)),
% 0.21/0.54    inference(resolution,[then_simplify],['34','21','16','35','17'])).
% 0.21/0.54  cnf('37', plain, ($false),
% 0.21/0.54    inference(resolution,[then_simplify],['36','6','7'])).
% 0.21/0.54  
% 0.21/0.54  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.54  
% 0.21/0.54  run 1 fork 0 statistics:
% 0.21/0.54  ----------------------------------
% 0.21/0.54  this run seconds: 0.071688
% 0.21/0.54  total seconds: 0.098291
% 0.21/0.54  stat_given_used: 605
% 0.21/0.54  stat_given_used_at_endgame: 0
% 0.21/0.54  stat_given_candidates:   1225
% 0.21/0.54  stat_given_candidates_at_endgame: 0
% 0.21/0.54  stat_given_candidates_h: 0
% 0.21/0.54  stat_binres_derived_cl:   3157
% 0.21/0.54  stat_binres_derived_cl_h: 0
% 0.21/0.54  stat_factor_derived_cl: 134
% 0.21/0.54  stat_para_derived_cl: 0
% 0.21/0.54  stat_tautologies_discarded: 0
% 0.21/0.54  stat_forward_subsumed: 411
% 0.21/0.54  stat_derived_cut: 278
% 0.21/0.54  stat_derived_rewritten: 0
% 0.21/0.54  stat_weight_discarded_building: 0
% 0.21/0.54  stat_weight_discarded_cl: 662
% 0.21/0.54  stat_internlimit_discarded_cl: 0
% 0.21/0.54  stat_simplified:  76 simplified 0 derived 0 given
% 0.21/0.54  stat_kept_cl: 2217
% 0.21/0.54  stat_built_cl: 4165
% 0.21/0.54  stat_hyperres_partial_cl: 0
% 0.21/0.54  stat_made_rewriters: 0
% 0.21/0.54  stat_backward_subsumed: 0
% 0.21/0.54  stat_propagated_subsumed: 0
% 0.21/0.54  stat_clsubs_attempted:                      4455
% 0.21/0.54  stat_clsubs_fact_groundunit_found:             6
% 0.21/0.54  stat_clsubs_rule_groundunit_found:           120
% 0.21/0.54  stat_clsubs_top_meta_attempted:             219718
% 0.21/0.54  stat_clsubs_top_meta_failed:                215263
% 0.21/0.54  stat_clsubs_top_meta_nonpref_attempted:              219718
% 0.21/0.54  stat_clsubs_top_meta_nonpref_succeeded:               57426
% 0.21/0.54  stat_clsubs_top_meta_pref_attempted:                  57426
% 0.21/0.54  stat_clsubs_top_meta_pref1_succeeded:                 44094
% 0.21/0.54  stat_clsubs_top_meta_pref2_succeeded:                  7718
% 0.21/0.54  stat_clsubs_top_meta_pref3_succeeded:                  4455
% 0.21/0.54  stat_clsubs_top_meta_pref_succeeded:                   4455
% 0.21/0.54  stat_clsubs_meta_attempted:                11443
% 0.21/0.54  stat_clsubs_meta_failed:                    5645
% 0.21/0.54  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.54  stat_clsubs_unit_attempted:                  781
% 0.21/0.54  stat_clsubs_full_attempted:                 3674
% 0.21/0.54  stat_forwardsubs_attempted:                 3291
% 0.21/0.54  stat_lit_hash_added:                   1081
% 0.21/0.54  stat_lit_hash_computed:               29758
% 0.21/0.54  stat_lit_hash_match_found:              814
% 0.21/0.54  stat_lit_hash_match_miss:             40864
% 0.21/0.54  stat_lit_hash_cut_ok:                   239
% 0.21/0.54  stat_lit_strong_cut_ok:                 148
% 0.21/0.54  stat_lit_hash_subsume_ok:               411
% 0.21/0.54  clqueue els 10000000 used 1
% 0.21/0.54  clactive els 10000000 used 606
% 0.21/0.54  clactivesubsume els 10000000 used 3175
% 0.21/0.54  queue_termbuf els 200000000 used 195703
% 0.21/0.54  hyper_termbuf els 100000000 used 1
% 0.21/0.54  active_termbuf els 100000000 used 31562
% 0.21/0.54  varstack els 5000 last used 1
% 0.21/0.54  given_termbuf els 10000000 last used 1
% 0.21/0.54  simplified_termbuf els 10000000 last used 1
% 0.21/0.54  derived_termbuf els 10000000 last used 21
% 0.21/0.54  wr_mallocs: 2658
% 0.21/0.54  wr_callocs: 21
% 0.21/0.54  wr_reallocs: 355
% 0.21/0.54  wr_frees: 2
% 0.21/0.54  wr_malloc_bytes: 4162673860
% 0.21/0.54  wr_calloc_bytes: 112065536
% 0.21/0.54  wr_realloc_bytes: 77464
% 0.21/0.54  wr_realloc_freebytes: 0
% 0.21/0.54  ----------------------------------
%------------------------------------------------------------------------------