TSTP Solution File: SYN353+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n011.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 03:01:18 EDT 2023

% Result   : Theorem 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 17:28:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.40  
% 0.20/0.40  input clause set summed statistics:
% 0.20/0.40  ----------------------------------
% 0.20/0.40  in_clause_count:                    21
% 0.20/0.40  in_rule_clause_count:               21
% 0.20/0.40  in_fact_clause_count:                0
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:              0
% 0.20/0.40  in_unit_clause_count:                0
% 0.20/0.40  in_horn_clause_count:               13
% 0.20/0.40  in_pos_clause_count:                 5
% 0.20/0.40  in_neg_clause_count:                 1
% 0.20/0.40  in_poseq_clause_count:               0
% 0.20/0.40  in_negeq_clause_count:               0
% 0.20/0.40  in_unitposeq_clause_count:           0
% 0.20/0.40  in_chain_clause_count:               0
% 0.20/0.40  in_min_length:             2
% 0.20/0.40  in_max_length:             4
% 0.20/0.40  in_min_depth:              1
% 0.20/0.40  in_max_depth:              2
% 0.20/0.40  in_min_size:              11
% 0.20/0.40  in_max_size:              26
% 0.20/0.40  in_min_vars:               3
% 0.20/0.40  in_max_vars:               3
% 0.20/0.40  in_extaxiom_count:                 0
% 0.20/0.40  in_axiom_count:                    0
% 0.20/0.40  in_assumption_count:               0
% 0.20/0.40  in_goal_count:                    21
% 0.20/0.40  in_neg_goal_count:                 1
% 0.20/0.40  in_pos_goal_count:                 5
% 0.20/0.40  in_posunit_goal_count:             0
% 0.20/0.40  
% 0.20/0.40  auto guide:
% 0.20/0.40  -----------
% 0.20/0.40  {
% 0.20/0.40  "print":1,
% 0.20/0.40  "print_level": 15,
% 0.20/0.40  "max_size": 0,
% 0.20/0.40  "max_depth": 0,
% 0.20/0.40  "max_length": 0,
% 0.20/0.40  "max_dseconds": 0,
% 0.20/0.40  "equality":0,
% 0.20/0.40  "runs":[
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.44  
% 0.20/0.44  fork 5: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  fork 7: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  result: proof found
% 0.20/0.44  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.44  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.44  
% 0.20/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.44  fof('church_46_18_5_$sk', plain, (((((((big_f(X3,X2,X1) & (big_f(X1,X3,X2) & big_f(X2,X1,X3))) & ~big_f($sk2(X1,X2,X3),$sk2(X1,X2,X3),$sk2(X1,X2,X3))) | ((~big_f(X3,X2,X1) | (~big_f(X1,X3,X2) | ~big_f(X2,X1,X3))) & big_f($sk2(X1,X2,X3),$sk2(X1,X2,X3),$sk2(X1,X2,X3)))) & (((~big_f(X2,X1,X3) & (~big_f(X1,X3,X2) | ~big_f(X3,X2,X1))) | big_f($sk2(X1,X2,X3),X1,X2)) & ((big_f(X2,X1,X3) | (big_f(X1,X3,X2) & big_f(X3,X2,X1))) | ~big_f($sk2(X1,X2,X3),X1,X2)))) & ((((~big_f(X3,X2,X1) | ~big_f(X2,X1,X3)) & big_f(X1,X3,X2)) | big_f(X2,$sk2(X1,X2,X3),X1)) & (((big_f(X3,X2,X1) & big_f(X2,X1,X3)) | ~big_f(X1,X3,X2)) | ~big_f(X2,$sk2(X1,X2,X3),X1)))) & ((((~big_f(X1,X3,X2) | ~big_f(X2,X1,X3)) & big_f(X3,X2,X1)) | big_f(X1,X2,$sk2(X1,X2,X3))) & (((big_f(X1,X3,X2) & big_f(X2,X1,X3)) | ~big_f(X3,X2,X1)) | ~big_f(X1,X2,$sk2(X1,X2,X3))))) & (((big_f(X3,X2,X1) | big_f(X1,X3,X2)) | ~big_f($sk1,$sk1,$sk2(X1,X2,X3))) | ~big_f(X2,X1,X3))),
% 0.20/0.44    inference(negpush_and_skolemize,[],['church_46_18_5'])).
% 0.20/0.44  fof('church_46_18_5', conjecture, (! [X] : (? [Y1,Y2,Y3] : (! [Z] : ((big_f(Y1,Y2,Y3) => (big_f(X,X,Z) => (big_f(Y2,Y3,Y1) | big_f(Y3,Y1,Y2)))) => (((big_f(Y3,Y1,Y2) => (big_f(Y1,Y2,Y3) & big_f(Y2,Y3,Y1))) <=> big_f(Y2,Y1,Z)) => (((big_f(Y2,Y3,Y1) => (big_f(Y1,Y2,Y3) & big_f(Y3,Y1,Y2))) <=> big_f(Y1,Z,Y2)) => ((((big_f(Y3,Y1,Y2) => ~big_f(Y2,Y3,Y1)) => big_f(Y1,Y2,Y3)) <=> big_f(Z,Y2,Y1)) => (((big_f(Y1,Y2,Y3) & big_f(Y2,Y3,Y1)) & big_f(Y3,Y1,Y2)) <=> big_f(Z,Z,Z))))))))),
% 0.20/0.44    input). 
% 0.20/0.44  cnf('1', plain, (~big_f($sk1,$sk1,$sk2(X,Y,Z)) | ~big_f(Y,X,Z) | big_f(X,Z,Y) | big_f(Z,Y,X)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('2', plain, (big_f(X,Y,$sk2(X,Y,Z)) | big_f(Z,Y,X)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('3', plain, (~big_f($sk1,$sk1,X) | big_f($sk1,X,$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['1','2'])).
% 0.20/0.44  cnf('4', plain, (big_f($sk1,$sk2($sk1,$sk1,X),$sk1) | big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['3','2'])).
% 0.20/0.44  cnf('5', plain, (~big_f(X,$sk2(Y,X,Z),Y) | ~big_f(Y,Z,X) | big_f(Z,X,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('6', plain, (big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | ~big_f($sk1,X,$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['4','5'])).
% 0.20/0.44  cnf('7', plain, (~big_f($sk2(X,Y,Z),X,Y) | big_f(Y,X,Z) | big_f(Z,Y,X)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('8', plain, (big_f($sk1,$sk1,X) | ~big_f($sk1,X,$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['6','7'])).
% 0.20/0.44  cnf('9', plain, (big_f(X,$sk2(Y,X,Z),Y) | big_f(Y,Z,X)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('10', plain, (big_f($sk1,$sk1,$sk2($sk1,$sk1,X)) | big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | big_f($sk1,X,$sk1)),
% 0.20/0.44    inference(resolution,[],['8','9'])).
% 0.20/0.44  cnf('11', plain, (~big_f(X,Y,$sk2(X,Y,Z)) | ~big_f(Z,Y,X) | big_f(X,Z,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('12', plain, (big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['10','11'])).
% 0.20/0.44  cnf('13', plain, (~big_f($sk2(X,Y,Z),X,Y) | big_f(Y,X,Z) | big_f(X,Z,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('14', plain, (big_f($sk1,$sk1,X) | big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['12','13'])).
% 0.20/0.44  cnf('15', plain, (big_f($sk2(X,Y,Z),X,Y) | ~big_f(Z,Y,X) | ~big_f(X,Z,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('16', plain, (big_f($sk1,$sk1,$sk2($sk1,$sk1,X)) | big_f($sk1,$sk2($sk1,$sk1,X),$sk1) | ~big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['14','15'])).
% 0.20/0.44  cnf('17', plain, (~big_f(X,Y,$sk2(X,Y,Z)) | ~big_f(Z,Y,X) | big_f(Y,X,Z)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('18', plain, (big_f($sk1,$sk2($sk1,$sk1,X),$sk1) | big_f($sk1,$sk1,X) | ~big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['16','17'])).
% 0.20/0.44  cnf('19', plain, (~big_f(X,$sk2(Y,X,Z),Y) | ~big_f(Y,Z,X) | big_f(X,Y,Z)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('20', plain, (big_f($sk1,$sk1,X) | ~big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['18','19'])).
% 0.20/0.44  cnf('21', plain, (big_f($sk1,$sk1,$sk2($sk1,$sk1,X)) | ~big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | big_f($sk1,X,$sk1)),
% 0.20/0.44    inference(resolution,[],['20','9'])).
% 0.20/0.44  cnf('22', plain, (big_f($sk1,$sk1,$sk2($sk1,$sk1,X)) | big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['21','12'])).
% 0.20/0.44  cnf('23', plain, (big_f($sk1,X,$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['22','11'])).
% 0.20/0.44  cnf('24', plain, (big_f($sk1,$sk2($sk1,$sk1,X3),$sk1) | ~big_f($sk1,X3,$sk1) | ~big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['23','15'])).
% 0.20/0.44  cnf('25', plain, (big_f($sk1,X3,$sk1) | ~big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['22','11'])).
% 0.20/0.44  cnf('26', plain, (big_f($sk1,$sk2($sk1,$sk1,X),$sk1) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(simplify,[],['24','25'])).
% 0.20/0.44  cnf('27', plain, (big_f($sk1,$sk1,X3) | ~big_f($sk1,X3,$sk1) | ~big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['26','19'])).
% 0.20/0.44  cnf('28', plain, (big_f($sk1,$sk1,X) | ~big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(simplify,[],['27','25'])).
% 0.20/0.44  cnf('29', plain, (big_f($sk2(X,Y,Z),X,Y) | ~big_f(Y,X,Z)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('30', plain, (big_f($sk1,$sk1,$sk2($sk1,$sk1,X)) | ~big_f($sk1,$sk1,X)),
% 0.20/0.44    inference(resolution,[],['28','29'])).
% 0.20/0.44  cnf('31', plain, (~big_f($sk1,$sk1,X3) | big_f($sk1,X3,$sk1) | big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['30','1'])).
% 0.20/0.44  cnf('32', plain, (~big_f($sk1,$sk1,X) | big_f($sk1,X,$sk1)),
% 0.20/0.44    inference(simplify,[],['31','25'])).
% 0.20/0.44  cnf('33', plain, (big_f($sk1,$sk2($sk1,$sk1,X),$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['32','2'])).
% 0.20/0.44  cnf('34', plain, (~big_f($sk1,X,$sk1) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['33','5'])).
% 0.20/0.44  cnf('35', plain, (big_f($sk2($sk1,$sk1,X),$sk1,$sk1) | big_f($sk1,X,$sk1)),
% 0.20/0.44    inference(resolution,[],['34','9'])).
% 0.20/0.44  cnf('36', plain, (big_f($sk1,X3,$sk1) | big_f($sk1,$sk1,X3) | big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['35','7'])).
% 0.20/0.44  cnf('37', plain, (~big_f($sk1,X3,$sk1) | big_f(X3,$sk1,$sk1)),
% 0.20/0.44    inference(resolution,[],['33','5'])).
% 0.20/0.44  cnf('38', plain, (big_f($sk1,$sk1,X) | big_f(X,$sk1,$sk1)),
% 0.20/0.44    inference(simplify,[],['36','37'])).
% 0.20/0.44  cnf('39', plain, (big_f(X3,$sk1,$sk1) | big_f($sk1,X3,$sk1)),
% 0.20/0.44    inference(resolution,[],['38','32'])).
% 0.20/0.44  cnf('40', plain, (big_f($sk1,X,$sk1)),
% 0.20/0.44    inference(simplify,[],['39','25'])).
% 0.20/0.44  cnf('41', plain, (big_f($sk1,Y3,$sk1)),
% 0.20/0.44    inference(simplify,[],['39','25'])).
% 0.20/0.44  cnf('42', plain, (big_f($sk1,$sk1,X)),
% 0.20/0.44    inference(resolution,[then_simplify],['40','19','41'])).
% 0.20/0.44  cnf('43', plain, (~big_f(X,Y,Z) | big_f(Z,X,Y) | big_f(Y,Z,X)),
% 0.20/0.44    inference(resolution,[],['42','1'])).
% 0.20/0.44  cnf('44', plain, (big_f(X,Y,$sk2(X,Y,Z)) | big_f(Y,$sk2(X,Y,Z),X) | ~big_f(Z,Y,X) | ~big_f(X,Z,Y)),
% 0.20/0.44    inference(resolution,[],['43','15'])).
% 0.20/0.44  cnf('45', plain, (big_f(X,$sk2(Y,X,Z),Y) | ~big_f(Z,X,Y) | ~big_f(Y,Z,X) | big_f(X,Y,Z)),
% 0.20/0.44    inference(resolution,[],['44','17'])).
% 0.20/0.44  cnf('46', plain, (~big_f(X,Y,Z) | ~big_f(Y,Z,X) | big_f(Z,X,Y)),
% 0.20/0.44    inference(resolution,[],['45','19'])).
% 0.20/0.44  cnf('47', plain, (big_f($sk2(X,Y,Z),X,Y) | big_f(X,Y,$sk2(X,Y,Z)) | big_f(X,Z,Y)),
% 0.20/0.44    inference(resolution,[],['43','9'])).
% 0.20/0.44  cnf('48', plain, (~big_f($sk2(X,X,X),X,X) | big_f(X,X,X)),
% 0.20/0.44    inference(factorization,[],['13'])).
% 0.20/0.44  cnf('49', plain, (big_f(X3,X3,$sk2(X3,X3,X3)) | big_f(X3,X3,X3)),
% 0.20/0.44    inference(resolution,[],['47','48'])).
% 0.20/0.44  cnf('50', plain, (big_f(X,Y,$sk2(X,Y,Z)) | ~big_f(Y,X,Z) | ~big_f(X,Z,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('51', plain, (big_f(X3,X3,$sk2(X3,X3,X3)) | ~big_f(X3,X3,X3)),
% 0.20/0.44    inference(factorization,[],['50'])).
% 0.20/0.44  cnf('52', plain, (big_f(X,X,$sk2(X,X,X))),
% 0.20/0.44    inference(simplify,[],['49','51'])).
% 0.20/0.44  cnf('53', plain, (big_f($sk2(X,Y,Z),X,Y) | big_f(Y,$sk2(X,Y,Z),X) | big_f(Z,Y,X)),
% 0.20/0.44    inference(resolution,[],['43','2'])).
% 0.20/0.44  cnf('54', plain, (big_f(X3,$sk2(X3,X3,X3),X3) | big_f(X3,X3,X3)),
% 0.20/0.44    inference(resolution,[],['53','48'])).
% 0.20/0.44  cnf('55', plain, (big_f(X,$sk2(Y,X,Z),Y) | ~big_f(X,Y,Z) | ~big_f(Z,X,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('56', plain, (big_f(X3,$sk2(X3,X3,X3),X3) | ~big_f(X3,X3,X3)),
% 0.20/0.44    inference(factorization,[],['55'])).
% 0.20/0.44  cnf('57', plain, (big_f(Y3,$sk2(Y3,Y3,Y3),Y3)),
% 0.20/0.44    inference(simplify,[],['54','56'])).
% 0.20/0.44  cnf('58', plain, (big_f($sk2(X,X,X),X,X)),
% 0.20/0.44    inference(resolution,[then_simplify],['46','52','57'])).
% 0.20/0.44  cnf('59', plain, (big_f(X,X,X)),
% 0.20/0.44    inference(resolution,[],['58','48'])).
% 0.20/0.44  cnf('60', plain, (~big_f($sk2(X,Y,Z),$sk2(X,Y,Z),$sk2(X,Y,Z)) | ~big_f(Z,Y,X) | ~big_f(Y,X,Z) | ~big_f(X,Z,Y)),
% 0.20/0.44    inference(cnf_transformation,[],['church_46_18_5_$sk'])).
% 0.20/0.44  cnf('61', plain, (~big_f($sk2(X,X,X),$sk2(X,X,X),$sk2(X,X,X)) | ~big_f(X,X,X)),
% 0.20/0.44    inference(factorization,[],['60'])).
% 0.20/0.44  cnf('62', plain, (big_f(X3,X3,X3)),
% 0.20/0.44    inference(resolution,[],['58','48'])).
% 0.20/0.44  cnf('63', plain, ($false),
% 0.20/0.44    inference(resolution,[then_simplify],['59','61','62'])).
% 0.20/0.44  
% 0.20/0.44  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.44  
% 0.20/0.44  run 4 fork 3 statistics:
% 0.20/0.44  ----------------------------------
% 0.20/0.45  this run seconds: 0.012262
% 0.20/0.45  total seconds: 0.042507
% 0.20/0.45  stat_given_used: 65
% 0.20/0.45  stat_given_used_at_endgame: 0
% 0.20/0.45  stat_given_candidates:   147
% 0.20/0.45  stat_given_candidates_at_endgame: 0
% 0.20/0.45  stat_given_candidates_h: 0
% 0.20/0.45  stat_binres_derived_cl:   368
% 0.20/0.45  stat_binres_derived_cl_h: 0
% 0.20/0.45  stat_factor_derived_cl: 24
% 0.20/0.45  stat_para_derived_cl: 0
% 0.20/0.45  stat_tautologies_discarded: 91
% 0.20/0.45  stat_forward_subsumed: 118
% 0.20/0.45  stat_derived_cut: 40
% 0.20/0.45  stat_derived_rewritten: 0
% 0.20/0.45  stat_weight_discarded_building: 0
% 0.20/0.45  stat_weight_discarded_cl: 0
% 0.20/0.45  stat_internlimit_discarded_cl: 0
% 0.20/0.45  stat_simplified:  24 simplified 0 derived 0 given
% 0.20/0.45  stat_kept_cl: 182
% 0.20/0.45  stat_built_cl: 336
% 0.20/0.45  stat_hyperres_partial_cl: 0
% 0.20/0.45  stat_made_rewriters: 0
% 0.20/0.45  stat_backward_subsumed: 0
% 0.20/0.45  stat_propagated_subsumed: 0
% 0.20/0.45  stat_clsubs_attempted:                       516
% 0.20/0.45  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.45  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.45  stat_clsubs_top_meta_attempted:               4080
% 0.20/0.45  stat_clsubs_top_meta_failed:                  3564
% 0.20/0.45  stat_clsubs_top_meta_nonpref_attempted:                4080
% 0.20/0.45  stat_clsubs_top_meta_nonpref_succeeded:                 650
% 0.20/0.45  stat_clsubs_top_meta_pref_attempted:                    650
% 0.20/0.45  stat_clsubs_top_meta_pref1_succeeded:                   608
% 0.20/0.45  stat_clsubs_top_meta_pref2_succeeded:                   526
% 0.20/0.45  stat_clsubs_top_meta_pref3_succeeded:                   516
% 0.20/0.45  stat_clsubs_top_meta_pref_succeeded:                    516
% 0.20/0.45  stat_clsubs_meta_attempted:                 1112
% 0.20/0.45  stat_clsubs_meta_failed:                     378
% 0.20/0.45  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.45  stat_clsubs_unit_attempted:                   81
% 0.20/0.45  stat_clsubs_full_attempted:                  435
% 0.20/0.45  stat_forwardsubs_attempted:                  301
% 0.20/0.45  stat_lit_hash_added:                    124
% 0.20/0.45  stat_lit_hash_computed:                2008
% 0.20/0.45  stat_lit_hash_match_found:              180
% 0.20/0.45  stat_lit_hash_match_miss:              2506
% 0.20/0.45  stat_lit_hash_cut_ok:                    64
% 0.20/0.45  stat_lit_strong_cut_ok:                   4
% 0.20/0.45  stat_lit_hash_subsume_ok:               118
% 0.20/0.45  clqueue els 10000000 used 1
% 0.20/0.45  clactive els 10000000 used 66
% 0.20/0.45  clactivesubsume els 10000000 used 385
% 0.20/0.45  queue_termbuf els 200000000 used 10815
% 0.20/0.45  hyper_termbuf els 100000000 used 1
% 0.20/0.45  active_termbuf els 100000000 used 2431
% 0.20/0.45  varstack els 5000 last used 1
% 0.20/0.45  given_termbuf els 10000000 last used 1
% 0.20/0.45  simplified_termbuf els 10000000 last used 1
% 0.20/0.45  derived_termbuf els 10000000 last used 23
% 0.20/0.45  wr_mallocs: 315
% 0.20/0.45  wr_callocs: 21
% 0.20/0.45  wr_reallocs: 49
% 0.20/0.45  wr_frees: 2
% 0.20/0.45  wr_malloc_bytes: 4162589028
% 0.20/0.45  wr_calloc_bytes: 112065536
% 0.20/0.45  wr_realloc_bytes: 30464
% 0.20/0.45  wr_realloc_freebytes: 0
% 0.20/0.45  ----------------------------------
%------------------------------------------------------------------------------