TSTP Solution File: SYN349+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n002.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 03:01:17 EDT 2023

% Result   : Theorem 0.19s 0.43s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 19:05:33 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                    85
% 0.19/0.39  in_rule_clause_count:               85
% 0.19/0.39  in_fact_clause_count:                0
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:              0
% 0.19/0.39  in_unit_clause_count:                0
% 0.19/0.39  in_horn_clause_count:               54
% 0.19/0.39  in_pos_clause_count:                 5
% 0.19/0.39  in_neg_clause_count:                22
% 0.19/0.39  in_poseq_clause_count:               0
% 0.19/0.39  in_negeq_clause_count:               0
% 0.19/0.39  in_unitposeq_clause_count:           0
% 0.19/0.39  in_chain_clause_count:               0
% 0.19/0.39  in_min_length:             2
% 0.19/0.39  in_max_length:             6
% 0.19/0.39  in_min_depth:              1
% 0.19/0.39  in_max_depth:              2
% 0.19/0.39  in_min_size:               6
% 0.19/0.39  in_max_size:              21
% 0.19/0.39  in_min_vars:               2
% 0.19/0.39  in_max_vars:               2
% 0.19/0.39  in_extaxiom_count:                 0
% 0.19/0.39  in_axiom_count:                    0
% 0.19/0.39  in_assumption_count:               0
% 0.19/0.39  in_goal_count:                    85
% 0.19/0.39  in_neg_goal_count:                22
% 0.19/0.39  in_pos_goal_count:                 5
% 0.19/0.39  in_posunit_goal_count:             0
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "equality":0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.19/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.19/0.39  
% 0.19/0.39  ]}
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  **** run 1 fork 0 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 2 fork 1 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 3 fork 2 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 4 fork 3 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.42  
% 0.19/0.42  fork 5: search finished without proof.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  result: proof found
% 0.19/0.43  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  
% 0.19/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  fof('church_46_17_5_$sk', plain, (((((((big_f(X1,$sk2(X1,X2)) & ~big_f($sk2(X1,X2),X2)) | (~big_f(X1,$sk2(X1,X2)) & big_f($sk2(X1,X2),X2))) | big_f(X2,$sk2(X1,X2))) & (((~big_f(X1,$sk2(X1,X2)) | big_f($sk2(X1,X2),X2)) & (big_f(X1,$sk2(X1,X2)) | ~big_f($sk2(X1,X2),X2))) | ~big_f(X2,$sk2(X1,X2)))) & ~big_f($sk2(X1,X2),$sk1(X1))) | (((((~big_f(X1,$sk2(X1,X2)) | big_f($sk2(X1,X2),X2)) & (big_f(X1,$sk2(X1,X2)) | ~big_f($sk2(X1,X2),X2))) & ~big_f(X2,$sk2(X1,X2))) | (((big_f(X1,$sk2(X1,X2)) & ~big_f($sk2(X1,X2),X2)) | (~big_f(X1,$sk2(X1,X2)) & big_f($sk2(X1,X2),X2))) & big_f(X2,$sk2(X1,X2)))) & big_f($sk2(X1,X2),$sk1(X1)))) & ((~big_f(X1,$sk2(X1,X2)) | big_f($sk1(X1),$sk2(X1,X2))) & (big_f(X1,$sk2(X1,X2)) | ~big_f($sk1(X1),$sk2(X1,X2))))),
% 0.19/0.43    inference(negpush_and_skolemize,[],['church_46_17_5'])).
% 0.19/0.43  fof('church_46_17_5', conjecture, (? [X1] : (! [X2] : (? [X3] : (! [X4] : ((big_f(X1,X4) <=> big_f(X2,X4)) => (((big_f(X1,X4) <=> big_f(X4,X3)) <=> big_f(X3,X4)) <=> big_f(X4,X2))))))),
% 0.19/0.43    input). 
% 0.19/0.43  cnf('1', plain, (~$df20(X,Y) | $df4(Y,X) | $df1(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('2', plain, ($df20(X,Y) | $df11(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('3', plain, ($df4(X,Y) | $df1(X,Y) | $df11(X,Y)),
% 0.19/0.43    inference(resolution,[],['1','2'])).
% 0.19/0.43  cnf('4', plain, (big_f(X,$sk2(Y,X)) | ~$df4(X,Y)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('5', plain, (big_f(X,$sk2(Y,X)) | $df1(X,Y) | $df11(X,Y)),
% 0.19/0.43    inference(resolution,[],['3','4'])).
% 0.19/0.43  cnf('6', plain, (~big_f($sk1(X),$sk2(X,Y)) | big_f(X,$sk2(X,Y))),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('7', plain, (big_f(X,$sk2(X,$sk1(X))) | $df1($sk1(X),X) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['5','6'])).
% 0.19/0.43  cnf('8', plain, (big_f($sk2(X,Y),$sk1(X)) | ~$df20(X,Y)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('9', plain, (big_f($sk2(X,Y),$sk1(X)) | $df11(Y,X)),
% 0.19/0.43    inference(resolution,[],['2','8'])).
% 0.19/0.43  cnf('10', plain, (~big_f($sk2(X,Y),Y) | ~big_f(X,$sk2(X,Y)) | ~$df4(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('11', plain, (~big_f(X,$sk2(X,$sk1(X))) | ~$df4($sk1(X),X) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['9','10'])).
% 0.19/0.43  cnf('12', plain, (~$df4($sk1(X),X) | $df1($sk1(X),X) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['7','11'])).
% 0.19/0.43  cnf('13', plain, ($df1($sk1(X),X) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['12','3'])).
% 0.19/0.43  cnf('14', plain, (~big_f($sk2(X,Y),Y) | big_f(X,$sk2(X,Y)) | ~$df1(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('15', plain, (big_f(X,$sk2(X,$sk1(X))) | ~$df1($sk1(X),X) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['9','14'])).
% 0.19/0.43  cnf('16', plain, (big_f(X,$sk2(X,$sk1(X))) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['13','15'])).
% 0.19/0.43  cnf('17', plain, (big_f($sk1(X),$sk2(X,Y)) | ~big_f(X,$sk2(X,Y))),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('18', plain, (big_f($sk1(X),$sk2(X,$sk1(X))) | $df11($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['16','17'])).
% 0.19/0.43  cnf('19', plain, (~big_f(X,$sk2(Y,X)) | ~$df1(X,Y)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('20', plain, (~$df1($sk1(X3),X3) | $df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['18','19'])).
% 0.19/0.43  cnf('21', plain, ($df1($sk1(X3),X3) | $df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['12','3'])).
% 0.19/0.43  cnf('22', plain, ($df11($sk1(X),X)),
% 0.19/0.43    inference(simplify,[],['20','21'])).
% 0.19/0.43  cnf('23', plain, (big_f($sk2(X,Y),Y) | big_f(Y,$sk2(X,Y)) | big_f(X,$sk2(X,Y)) | ~$df11(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('24', plain, (big_f($sk2(X,$sk1(X)),$sk1(X)) | big_f($sk1(X),$sk2(X,$sk1(X))) | big_f(X,$sk2(X,$sk1(X)))),
% 0.19/0.43    inference(resolution,[],['22','23'])).
% 0.19/0.43  cnf('25', plain, (~big_f($sk2(X,Y),$sk1(X)) | ~$df11(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('26', plain, (big_f($sk1(X3),$sk2(X3,$sk1(X3))) | big_f(X3,$sk2(X3,$sk1(X3))) | ~$df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['24','25'])).
% 0.19/0.43  cnf('27', plain, (big_f(X3,$sk2(X3,$sk1(X3))) | $df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['13','15'])).
% 0.19/0.43  cnf('28', plain, (big_f($sk1(X),$sk2(X,$sk1(X))) | big_f(X,$sk2(X,$sk1(X)))),
% 0.19/0.43    inference(simplify,[],['26','27'])).
% 0.19/0.43  cnf('29', plain, (big_f(X,$sk2(X,$sk1(X)))),
% 0.19/0.43    inference(resolution,[],['28','6'])).
% 0.19/0.43  cnf('30', plain, (big_f($sk1(X),$sk2(X,$sk1(X)))),
% 0.19/0.43    inference(resolution,[],['29','17'])).
% 0.19/0.43  cnf('31', plain, (big_f($sk2(X,Y),Y) | ~big_f(Y,$sk2(X,Y)) | ~big_f(X,$sk2(X,Y)) | ~$df11(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('32', plain, (big_f(X3,$sk2(X3,$sk1(X3)))),
% 0.19/0.43    inference(resolution,[],['28','6'])).
% 0.19/0.43  cnf('33', plain, (~big_f($sk2(X,Y),Y) | big_f(X,$sk2(X,Y)) | $df2(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('34', plain, (big_f($sk1(X),$sk2(X,$sk1(X))) | big_f(X,$sk2(X,$sk1(X))) | $df2($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['24','33'])).
% 0.19/0.43  cnf('35', plain, (big_f(X,$sk2(X,$sk1(X))) | $df2($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['34','6'])).
% 0.19/0.43  cnf('36', plain, (big_f($sk1(X),$sk2(X,$sk1(X))) | $df2($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['35','17'])).
% 0.19/0.43  cnf('37', plain, (~$df1($sk1(X),X) | $df2($sk1(X),X)),
% 0.19/0.43    inference(resolution,[],['36','19'])).
% 0.19/0.43  cnf('38', plain, ($df2($sk1(X3),X3) | $df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['37','13'])).
% 0.19/0.43  cnf('39', plain, (~big_f(X,$sk2(X,Y)) | ~$df2(Y,X)),
% 0.19/0.43    inference(cnf_transformation,[],['church_46_17_5_$sk'])).
% 0.19/0.43  cnf('40', plain, (~$df2($sk1(X3),X3) | $df11($sk1(X3),X3)),
% 0.19/0.43    inference(resolution,[],['16','39'])).
% 0.19/0.43  cnf('41', plain, ($df11($sk1(Y3),Y3)),
% 0.19/0.43    inference(simplify,[],['38','40'])).
% 0.19/0.43  cnf('42', plain, (big_f($sk2(X,$sk1(X)),$sk1(X))),
% 0.19/0.43    inference(resolution,[then_simplify],['30','31','32','41'])).
% 0.19/0.43  cnf('43', plain, ($false),
% 0.19/0.43    inference(resolution,[then_simplify],['42','25','41'])).
% 0.19/0.43  
% 0.19/0.43  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  
% 0.19/0.43  run 3 fork 2 statistics:
% 0.19/0.43  ----------------------------------
% 0.19/0.43  this run seconds: 0.016498
% 0.19/0.43  total seconds: 0.041779
% 0.19/0.43  stat_given_used: 116
% 0.19/0.43  stat_given_used_at_endgame: 0
% 0.19/0.43  stat_given_candidates:   152
% 0.19/0.43  stat_given_candidates_at_endgame: 0
% 0.19/0.43  stat_given_candidates_h: 0
% 0.19/0.43  stat_binres_derived_cl:   320
% 0.19/0.43  stat_binres_derived_cl_h: 0
% 0.19/0.43  stat_factor_derived_cl: 3
% 0.19/0.43  stat_para_derived_cl: 0
% 0.19/0.43  stat_tautologies_discarded: 52
% 0.19/0.43  stat_forward_subsumed: 9
% 0.19/0.43  stat_derived_cut: 26
% 0.19/0.43  stat_derived_rewritten: 0
% 0.19/0.43  stat_weight_discarded_building: 0
% 0.19/0.43  stat_weight_discarded_cl: 0
% 0.19/0.43  stat_internlimit_discarded_cl: 0
% 0.19/0.43  stat_simplified:  20 simplified 0 derived 0 given
% 0.19/0.43  stat_kept_cl: 261
% 0.19/0.43  stat_built_cl: 513
% 0.19/0.43  stat_hyperres_partial_cl: 0
% 0.19/0.43  stat_made_rewriters: 0
% 0.19/0.43  stat_backward_subsumed: 0
% 0.19/0.43  stat_propagated_subsumed: 0
% 0.19/0.43  stat_clsubs_attempted:                       164
% 0.19/0.43  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.43  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.43  stat_clsubs_top_meta_attempted:               8590
% 0.19/0.43  stat_clsubs_top_meta_failed:                  8426
% 0.19/0.43  stat_clsubs_top_meta_nonpref_attempted:                8590
% 0.19/0.43  stat_clsubs_top_meta_nonpref_succeeded:                2297
% 0.19/0.43  stat_clsubs_top_meta_pref_attempted:                   2297
% 0.19/0.43  stat_clsubs_top_meta_pref1_succeeded:                   211
% 0.19/0.43  stat_clsubs_top_meta_pref2_succeeded:                   164
% 0.19/0.43  stat_clsubs_top_meta_pref3_succeeded:                   164
% 0.19/0.43  stat_clsubs_top_meta_pref_succeeded:                    164
% 0.19/0.43  stat_clsubs_meta_attempted:                  344
% 0.19/0.43  stat_clsubs_meta_failed:                     151
% 0.19/0.43  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.43  stat_clsubs_unit_attempted:                   64
% 0.19/0.43  stat_clsubs_full_attempted:                  100
% 0.19/0.43  stat_forwardsubs_attempted:                  271
% 0.19/0.43  stat_lit_hash_added:                    184
% 0.19/0.43  stat_lit_hash_computed:                2931
% 0.19/0.43  stat_lit_hash_match_found:               19
% 0.19/0.43  stat_lit_hash_match_miss:              3927
% 0.19/0.43  stat_lit_hash_cut_ok:                    30
% 0.19/0.43  stat_lit_strong_cut_ok:                   2
% 0.19/0.43  stat_lit_hash_subsume_ok:                 9
% 0.19/0.43  clqueue els 10000000 used 1
% 0.19/0.43  clactive els 10000000 used 117
% 0.19/0.43  clactivesubsume els 10000000 used 697
% 0.19/0.43  queue_termbuf els 200000000 used 18450
% 0.19/0.43  hyper_termbuf els 100000000 used 1
% 0.19/0.43  active_termbuf els 100000000 used 4629
% 0.19/0.43  varstack els 5000 last used 1
% 0.19/0.43  given_termbuf els 10000000 last used 1
% 0.19/0.43  simplified_termbuf els 10000000 last used 1
% 0.19/0.43  derived_termbuf els 10000000 last used 28
% 0.19/0.43  wr_mallocs: 503
% 0.19/0.43  wr_callocs: 21
% 0.19/0.43  wr_reallocs: 77
% 0.19/0.43  wr_frees: 2
% 0.19/0.43  wr_malloc_bytes: 4162598052
% 0.19/0.43  wr_calloc_bytes: 112065536
% 0.19/0.43  wr_realloc_bytes: 22944
% 0.19/0.43  wr_realloc_freebytes: 0
% 0.19/0.43  ----------------------------------
% 0.19/0.43  
% 0.19/0.43  fork 7: search finished without proof.
%------------------------------------------------------------------------------