TSTP Solution File: SYN084+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:59:54 EDT 2023

% Result   : Theorem 0.18s 0.44s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 16:36:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  
% 0.13/0.38  input clause set summed statistics:
% 0.13/0.38  ----------------------------------
% 0.13/0.38  in_clause_count:                    69
% 0.13/0.38  in_rule_clause_count:               69
% 0.13/0.38  in_fact_clause_count:                0
% 0.13/0.38  in_answer_clause_count:              0
% 0.13/0.38  in_ground_clause_count:             32
% 0.13/0.38  in_unit_clause_count:                0
% 0.13/0.38  in_horn_clause_count:               45
% 0.13/0.38  in_pos_clause_count:                 5
% 0.13/0.38  in_neg_clause_count:                20
% 0.13/0.38  in_poseq_clause_count:               0
% 0.13/0.38  in_negeq_clause_count:               0
% 0.13/0.38  in_unitposeq_clause_count:           0
% 0.13/0.38  in_chain_clause_count:               0
% 0.13/0.38  in_min_length:             2
% 0.13/0.38  in_max_length:            10
% 0.13/0.38  in_min_depth:              1
% 0.13/0.38  in_max_depth:              3
% 0.13/0.38  in_min_size:               4
% 0.13/0.38  in_max_size:              22
% 0.13/0.38  in_min_vars:               0
% 0.13/0.38  in_max_vars:               3
% 0.13/0.38  in_extaxiom_count:                 0
% 0.13/0.38  in_axiom_count:                    0
% 0.13/0.38  in_assumption_count:               0
% 0.13/0.38  in_goal_count:                    69
% 0.13/0.38  in_neg_goal_count:                20
% 0.13/0.38  in_pos_goal_count:                 5
% 0.13/0.38  in_posunit_goal_count:             0
% 0.13/0.38  
% 0.13/0.38  auto guide:
% 0.13/0.38  -----------
% 0.13/0.38  {
% 0.13/0.38  "print":1,
% 0.13/0.38  "print_level": 15,
% 0.13/0.38  "max_size": 0,
% 0.13/0.38  "max_depth": 0,
% 0.13/0.38  "max_length": 0,
% 0.13/0.38  "max_dseconds": 0,
% 0.13/0.38  "equality":0,
% 0.13/0.38  "runs":[
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.13/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.13/0.38  
% 0.13/0.38  ]}
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  **** run 1 fork 0 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 2 fork 1 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 3 fork 2 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 4 fork 3 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 5 fork 4 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.38  
% 0.13/0.38  **** run 6 fork 5 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 7 fork 6 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.13/0.39  
% 0.13/0.39  **** run 8 fork 7 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.41  
% 0.18/0.41  fork 5: search finished without proof.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  result: proof found
% 0.18/0.44  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  
% 0.18/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  fof('pel62_$sk', plain, (((big_p(f(f(X1))) | ((~big_p(f(X1)) & big_p(X1)) | ~big_p(a))) & ((~big_p(f(f($sk1))) & (big_p(f($sk1)) & big_p(a))) | (~big_p(f(f($sk2))) & (~big_p($sk2) & big_p(a))))) | ((~big_p(f(f($sk3))) & ((big_p(f($sk3)) | ~big_p($sk3)) & big_p(a))) & ((big_p(f(f(X2))) | (~big_p(f(X2)) | ~big_p(a))) & (big_p(f(f(X3))) | (big_p(X3) | ~big_p(a)))))),
% 0.18/0.44    inference(negpush_and_skolemize,[],['pel62'])).
% 0.18/0.44  fof('pel62', conjecture, ((! [X] : ((big_p(a) & (big_p(X) => big_p(f(X)))) => big_p(f(f(X))))) <=> (! [X1] : (((~big_p(a) | big_p(X1)) | big_p(f(f(X1)))) & ((~big_p(a) | ~big_p(f(X1))) | big_p(f(f(X1))))))),
% 0.18/0.44    input). 
% 0.18/0.44  cnf('1', plain, (~big_p(a) | big_p(f(f(X0))) | ~$df14(X0,X1) | big_p(X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('2', plain, ($df14(X,Y) | $df1(Z)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('3', plain, (big_p(a) | ~$df14(X,Y)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('4', plain, ($df1(X3) | big_p(a)),
% 0.18/0.44    inference(resolution,[],['2','3'])).
% 0.18/0.44  cnf('5', plain, (big_p(a) | big_p(a) | ~$df1(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('6', plain, (big_p(a) | ~$df1(X3)),
% 0.18/0.44    inference(factorization,[],['5'])).
% 0.18/0.44  cnf('7', plain, (big_p(a)),
% 0.18/0.44    inference(simplify,[],['4','6'])).
% 0.18/0.44  cnf('8', plain, (big_p(f(f(X))) | ~$df14(X,Y) | big_p(X)),
% 0.18/0.44    inference(simplify,[],['1','7'])).
% 0.18/0.44  cnf('9', plain, (big_p(f(f(X))) | big_p(X) | $df1(Y)),
% 0.18/0.44    inference(resolution,[],['8','2'])).
% 0.18/0.44  cnf('10', plain, (~big_p(a) | big_p(f(f(X0))) | ~$df1(X0) | big_p(X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('11', plain, (big_p(f(f(X))) | ~$df1(X) | big_p(X)),
% 0.18/0.44    inference(simplify,[],['10','7'])).
% 0.18/0.44  cnf('12', plain, (big_p(f(f(X))) | big_p(f(f(Y))) | big_p(X) | big_p(Y)),
% 0.18/0.44    inference(resolution,[],['9','11'])).
% 0.18/0.44  cnf('13', plain, (big_p(f(f(X))) | big_p(X)),
% 0.18/0.44    inference(factorization,[],['12'])).
% 0.18/0.44  cnf('14', plain, (~big_p(f(f($sk2))) | big_p(f($sk1)) | $pr($df9)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('15', plain, (big_p(f($sk1)) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['13','14'])).
% 0.18/0.44  cnf('16', plain, (~big_p(a) | big_p(f(f(X0))) | ~big_p(f(X0)) | ~$df1(X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('17', plain, (big_p(f(f(X))) | ~big_p(f(X)) | ~$df1(X)),
% 0.18/0.44    inference(simplify,[],['16','7'])).
% 0.18/0.44  cnf('18', plain, (~$df1($sk1) | big_p(f(f($sk1))) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['15','17'])).
% 0.18/0.44  cnf('19', plain, (~big_p(f(f($sk3))) | ~$df14(X,Y)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('20', plain, (big_p($sk3) | ~$df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['13','19'])).
% 0.18/0.44  cnf('21', plain, (big_p($sk3) | $df1(X)),
% 0.18/0.44    inference(resolution,[],['20','2'])).
% 0.18/0.44  cnf('22', plain, (big_p(f(f($sk1))) | $pr($df9) | big_p($sk3) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['18','21'])).
% 0.18/0.44  cnf('23', plain, (~big_p(f(f($sk2))) | ~big_p(f(f($sk1))) | ~$df1(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('24', plain, (~big_p(f(f($sk1))) | big_p($sk2) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[],['13','23'])).
% 0.18/0.44  cnf('25', plain, ($pr($df9) | big_p($sk3) | big_p($sk2) | ~$df1(X3)),
% 0.18/0.44    inference(resolution,[],['22','24'])).
% 0.18/0.44  cnf('26', plain, (big_p($sk3) | $df1(X3)),
% 0.18/0.44    inference(resolution,[],['20','2'])).
% 0.18/0.44  cnf('27', plain, ($pr($df9) | big_p($sk3) | big_p($sk2)),
% 0.18/0.44    inference(simplify,[],['25','26'])).
% 0.18/0.44  cnf('28', plain, (~big_p(f(f($sk2))) | big_p(f($sk1)) | ~$df1(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('29', plain, (big_p(f($sk1)) | big_p($sk2) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[],['13','28'])).
% 0.18/0.44  cnf('30', plain, (big_p(f($sk1)) | big_p($sk3) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['29','21'])).
% 0.18/0.44  cnf('31', plain, (~big_p(f($sk1)) | ~$pr($df9)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('32', plain, (~$pr($df9) | big_p($sk3) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['30','31'])).
% 0.18/0.44  cnf('33', plain, (big_p($sk3) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['27','32'])).
% 0.18/0.44  cnf('34', plain, (~big_p($sk3) | big_p(f($sk3)) | ~$df14(X,Y)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('35', plain, (big_p(f($sk3)) | big_p($sk2) | ~$df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['33','34'])).
% 0.18/0.44  cnf('36', plain, (big_p(f($sk1)) | big_p($sk2) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['29','2'])).
% 0.18/0.44  cnf('37', plain, (big_p(f($sk3)) | big_p(f($sk1)) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['35','36'])).
% 0.18/0.44  cnf('38', plain, (~big_p(a) | big_p(f(f(X0))) | ~big_p(f(X0)) | ~$df14(X1,X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('39', plain, (big_p(f(f(X))) | ~big_p(f(X)) | ~$df14(Y,X)),
% 0.18/0.44    inference(simplify,[],['38','7'])).
% 0.18/0.44  cnf('40', plain, (big_p(f(f($sk3))) | big_p(f($sk1)) | big_p($sk2) | ~$df14(X,$sk3)),
% 0.18/0.44    inference(resolution,[],['37','39'])).
% 0.18/0.44  cnf('41', plain, (big_p(f(f($sk3))) | big_p(f($sk1)) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['40','36'])).
% 0.18/0.44  cnf('42', plain, (big_p(f($sk1)) | big_p($sk2) | ~$df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['41','19'])).
% 0.18/0.44  cnf('43', plain, (big_p(f($sk1)) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['42','36'])).
% 0.18/0.44  cnf('44', plain, (big_p($sk2) | ~$pr($df9)),
% 0.18/0.44    inference(resolution,[],['43','31'])).
% 0.18/0.44  cnf('45', plain, (big_p(f($sk3)) | big_p($sk2) | $df1(X)),
% 0.18/0.44    inference(resolution,[],['35','2'])).
% 0.18/0.44  cnf('46', plain, (big_p(f(f($sk1))) | big_p(f($sk3)) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['45','18'])).
% 0.18/0.44  cnf('47', plain, (big_p(f($sk3)) | $pr($df9) | big_p($sk2) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[],['46','24'])).
% 0.18/0.44  cnf('48', plain, (big_p(f($sk3)) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['47','45'])).
% 0.18/0.44  cnf('49', plain, (big_p(f(f($sk3))) | $pr($df9) | big_p($sk2) | ~$df14(X,$sk3)),
% 0.18/0.44    inference(resolution,[],['48','39'])).
% 0.18/0.44  cnf('50', plain, (big_p(f(f($sk1))) | $pr($df9) | big_p($sk2) | ~$df14(X,$sk1)),
% 0.18/0.44    inference(resolution,[],['15','39'])).
% 0.18/0.44  cnf('51', plain, (big_p(f(f($sk1))) | $pr($df9) | big_p($sk2) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['18','2'])).
% 0.18/0.44  cnf('52', plain, (big_p(f(f($sk1))) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['50','51'])).
% 0.18/0.44  cnf('53', plain, ($pr($df9) | big_p($sk2) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[],['52','24'])).
% 0.18/0.44  cnf('54', plain, ($pr($df9) | big_p($sk2) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['53','2'])).
% 0.18/0.44  cnf('55', plain, (big_p(f(f($sk3))) | $pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['49','54'])).
% 0.18/0.44  cnf('56', plain, ($pr($df9) | big_p($sk2) | ~$df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['55','19'])).
% 0.18/0.44  cnf('57', plain, ($pr($df9) | big_p($sk2)),
% 0.18/0.44    inference(resolution,[],['56','54'])).
% 0.18/0.44  cnf('58', plain, (big_p($sk2)),
% 0.18/0.44    inference(simplify,[],['44','57'])).
% 0.18/0.44  cnf('59', plain, (~big_p($sk2) | big_p(f($sk1)) | ~$df1(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('60', plain, (big_p(f($sk1)) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[],['58','59'])).
% 0.18/0.44  cnf('61', plain, (big_p(f($sk3)) | ~$df14(X,Y) | $df1(Z)),
% 0.18/0.44    inference(resolution,[],['21','34'])).
% 0.18/0.44  cnf('62', plain, (big_p(f($sk3)) | $df1(X) | $df1(Y)),
% 0.18/0.44    inference(resolution,[],['61','2'])).
% 0.18/0.44  cnf('63', plain, (big_p(f($sk3)) | $df1(X)),
% 0.18/0.44    inference(factorization,[],['62'])).
% 0.18/0.44  cnf('64', plain, (~big_p(a) | big_p(f(f(X0))) | ~big_p(f(X0)) | $df16(X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('65', plain, (big_p(f(f(X))) | ~big_p(f(X)) | $df16(X)),
% 0.18/0.44    inference(simplify,[],['64','7'])).
% 0.18/0.44  cnf('66', plain, (big_p(f(f($sk3))) | $df16($sk3) | $df1(X)),
% 0.18/0.44    inference(resolution,[],['63','65'])).
% 0.18/0.44  cnf('67', plain, (big_p(f(f($sk3))) | big_p(f($sk1)) | $df16($sk3)),
% 0.18/0.44    inference(resolution,[],['60','66'])).
% 0.18/0.44  cnf('68', plain, (big_p(f($sk1)) | $df16($sk3) | ~$df14(X3,Y3)),
% 0.18/0.44    inference(resolution,[],['67','19'])).
% 0.18/0.44  cnf('69', plain, (big_p(f($sk1)) | $df14(X3,Y3)),
% 0.18/0.44    inference(resolution,[],['60','2'])).
% 0.18/0.44  cnf('70', plain, (big_p(f($sk1)) | $df16($sk3)),
% 0.18/0.44    inference(simplify,[],['68','69'])).
% 0.18/0.44  cnf('71', plain, (~big_p(f($sk1)) | ~$pr($df7)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('72', plain, (~big_p($sk2) | big_p(f($sk1)) | $pr($df7)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('73', plain, (big_p(f($sk1)) | $pr($df7)),
% 0.18/0.44    inference(resolution,[],['58','72'])).
% 0.18/0.44  cnf('74', plain, (~$df1($sk1) | big_p(f(f($sk1))) | $pr($df7)),
% 0.18/0.44    inference(resolution,[],['73','17'])).
% 0.18/0.44  cnf('75', plain, (big_p(f(f($sk1))) | big_p(f($sk3)) | $pr($df7)),
% 0.18/0.44    inference(resolution,[],['74','63'])).
% 0.18/0.44  cnf('76', plain, (~big_p(f(f($sk1))) | ~big_p($sk2) | ~$df1(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('77', plain, (big_p($sk2)),
% 0.18/0.44    inference(simplify,[],['44','57'])).
% 0.18/0.44  cnf('78', plain, (big_p(f($sk3)) | $pr($df7) | ~$df1(X3)),
% 0.18/0.44    inference(resolution,[then_simplify],['75','76','77'])).
% 0.18/0.44  cnf('79', plain, (big_p(f($sk3)) | $df1(X3)),
% 0.18/0.44    inference(factorization,[],['62'])).
% 0.18/0.44  cnf('80', plain, (big_p(f($sk3)) | $pr($df7)),
% 0.18/0.44    inference(simplify,[],['78','79'])).
% 0.18/0.44  cnf('81', plain, (big_p(f(f($sk3))) | $pr($df7) | ~$df14(X,$sk3)),
% 0.18/0.44    inference(resolution,[],['80','39'])).
% 0.18/0.44  cnf('82', plain, (big_p(f(f($sk1))) | $pr($df7) | ~$df14(X,$sk1)),
% 0.18/0.44    inference(resolution,[],['73','39'])).
% 0.18/0.44  cnf('83', plain, (big_p(f(f($sk1))) | $pr($df7) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['74','2'])).
% 0.18/0.44  cnf('84', plain, (~big_p(f(f($sk1))) | ~big_p($sk2) | $pr($df10)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('85', plain, ($pr($df7) | $pr($df10) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[then_simplify],['83','84','77'])).
% 0.18/0.44  cnf('86', plain, (big_p(f(f($sk1))) | $pr($df7) | $pr($df10)),
% 0.18/0.44    inference(resolution,[],['82','85'])).
% 0.18/0.44  cnf('87', plain, (~$pr($df10) | big_p(f(f($sk1)))),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('88', plain, (big_p(f(f($sk1))) | $pr($df7)),
% 0.18/0.44    inference(simplify,[],['86','87'])).
% 0.18/0.44  cnf('89', plain, ($pr($df7) | ~$df1(X)),
% 0.18/0.44    inference(resolution,[then_simplify],['88','76','77'])).
% 0.18/0.44  cnf('90', plain, ($pr($df7) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['89','2'])).
% 0.18/0.44  cnf('91', plain, (big_p(f(f($sk3))) | $pr($df7)),
% 0.18/0.44    inference(resolution,[],['81','90'])).
% 0.18/0.44  cnf('92', plain, ($pr($df7) | ~$df14(X3,Y3)),
% 0.18/0.44    inference(resolution,[],['91','19'])).
% 0.18/0.44  cnf('93', plain, ($pr($df7) | $df14(X3,Y3)),
% 0.18/0.44    inference(resolution,[],['89','2'])).
% 0.18/0.44  cnf('94', plain, ($pr($df7)),
% 0.18/0.44    inference(simplify,[],['92','93'])).
% 0.18/0.44  cnf('95', plain, ($df16($sk3)),
% 0.18/0.44    inference(resolution,[then_simplify],['70','71','94'])).
% 0.18/0.44  cnf('96', plain, (big_p(f(X)) | ~$df16(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('97', plain, (big_p(f($sk3))),
% 0.18/0.44    inference(resolution,[],['95','96'])).
% 0.18/0.44  cnf('98', plain, (big_p(f(f($sk3))) | ~$df14(X,$sk3)),
% 0.18/0.44    inference(resolution,[],['97','39'])).
% 0.18/0.44  cnf('99', plain, (~$df1($sk3) | big_p(f(f($sk3)))),
% 0.18/0.44    inference(resolution,[],['97','17'])).
% 0.18/0.44  cnf('100', plain, (big_p(f(f($sk3))) | $df14(X,Y)),
% 0.18/0.44    inference(resolution,[],['99','2'])).
% 0.18/0.44  cnf('101', plain, (~big_p(f(f(X))) | ~$df12(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('102', plain, (~big_p(a) | big_p(f(f(X0))) | ~big_p(f(X0)) | $df12(X0)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('103', plain, (big_p(f(f(X))) | ~big_p(f(X)) | $df12(X)),
% 0.18/0.44    inference(simplify,[],['102','7'])).
% 0.18/0.44  cnf('104', plain, (big_p(f(f($sk3))) | $df12($sk3)),
% 0.18/0.44    inference(resolution,[],['97','103'])).
% 0.18/0.44  cnf('105', plain, (~big_p(f(f(X))) | ~$df16(X)),
% 0.18/0.44    inference(cnf_transformation,[],['pel62_$sk'])).
% 0.18/0.44  cnf('106', plain, ($df16($sk3)),
% 0.18/0.44    inference(resolution,[then_simplify],['70','71','94'])).
% 0.18/0.44  cnf('107', plain, ($df12($sk3)),
% 0.18/0.44    inference(resolution,[then_simplify],['104','105','106'])).
% 0.18/0.44  cnf('108', plain, ($df14(X,Y)),
% 0.18/0.44    inference(resolution,[then_simplify],['100','101','107'])).
% 0.18/0.44  cnf('109', plain, (big_p(f(f($sk3)))),
% 0.18/0.44    inference(resolution,[],['98','108'])).
% 0.18/0.44  cnf('110', plain, ($df14(X3,Y3)),
% 0.18/0.44    inference(resolution,[then_simplify],['100','101','107'])).
% 0.18/0.44  cnf('111', plain, ($false),
% 0.18/0.44    inference(resolution,[then_simplify],['109','19','110'])).
% 0.18/0.44  
% 0.18/0.44  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  
% 0.18/0.44  run 3 fork 2 statistics:
% 0.18/0.44  ----------------------------------
% 0.18/0.44  this run seconds: 0.032807
% 0.18/0.44  total seconds: 0.055209
% 0.18/0.44  stat_given_used: 324
% 0.18/0.44  stat_given_used_at_endgame: 0
% 0.18/0.44  stat_given_candidates:   908
% 0.18/0.44  stat_given_candidates_at_endgame: 0
% 0.18/0.44  stat_given_candidates_h: 0
% 0.18/0.44  stat_binres_derived_cl:   1756
% 0.18/0.44  stat_binres_derived_cl_h: 0
% 0.18/0.44  stat_factor_derived_cl: 67
% 0.18/0.44  stat_para_derived_cl: 0
% 0.18/0.44  stat_tautologies_discarded: 43
% 0.18/0.44  stat_forward_subsumed: 331
% 0.18/0.44  stat_derived_cut: 144
% 0.18/0.44  stat_derived_rewritten: 0
% 0.18/0.44  stat_weight_discarded_building: 0
% 0.18/0.44  stat_weight_discarded_cl: 0
% 0.18/0.44  stat_internlimit_discarded_cl: 0
% 0.18/0.44  stat_simplified:  107 simplified 0 derived 0 given
% 0.18/0.44  stat_kept_cl: 1448
% 0.18/0.44  stat_built_cl: 2203
% 0.18/0.44  stat_hyperres_partial_cl: 0
% 0.18/0.44  stat_made_rewriters: 0
% 0.18/0.44  stat_backward_subsumed: 0
% 0.18/0.44  stat_propagated_subsumed: 0
% 0.18/0.44  stat_clsubs_attempted:                      2069
% 0.18/0.44  stat_clsubs_fact_groundunit_found:             0
% 0.18/0.44  stat_clsubs_rule_groundunit_found:             0
% 0.18/0.44  stat_clsubs_top_meta_attempted:             127992
% 0.18/0.44  stat_clsubs_top_meta_failed:                125923
% 0.18/0.44  stat_clsubs_top_meta_nonpref_attempted:              127992
% 0.18/0.44  stat_clsubs_top_meta_nonpref_succeeded:               19826
% 0.18/0.44  stat_clsubs_top_meta_pref_attempted:                  19826
% 0.18/0.44  stat_clsubs_top_meta_pref1_succeeded:                  7279
% 0.18/0.44  stat_clsubs_top_meta_pref2_succeeded:                  2913
% 0.18/0.44  stat_clsubs_top_meta_pref3_succeeded:                  2069
% 0.18/0.44  stat_clsubs_top_meta_pref_succeeded:                   2069
% 0.18/0.44  stat_clsubs_meta_attempted:                10178
% 0.18/0.44  stat_clsubs_meta_failed:                    3942
% 0.18/0.44  stat_clsubs_predsymbs_attempted:               0
% 0.18/0.44  stat_clsubs_unit_attempted:                    2
% 0.18/0.44  stat_clsubs_full_attempted:                 2067
% 0.18/0.44  stat_forwardsubs_attempted:                 1780
% 0.18/0.44  stat_lit_hash_added:                    357
% 0.18/0.44  stat_lit_hash_computed:               20150
% 0.18/0.44  stat_lit_hash_match_found:              430
% 0.18/0.44  stat_lit_hash_match_miss:             26208
% 0.18/0.44  stat_lit_hash_cut_ok:                   144
% 0.18/0.44  stat_lit_strong_cut_ok:                   1
% 0.18/0.44  stat_lit_hash_subsume_ok:               331
% 0.18/0.44  clqueue els 10000000 used 1
% 0.18/0.44  clactive els 10000000 used 325
% 0.18/0.44  clactivesubsume els 10000000 used 1879
% 0.18/0.44  queue_termbuf els 200000000 used 100421
% 0.18/0.44  hyper_termbuf els 100000000 used 1
% 0.18/0.44  active_termbuf els 100000000 used 11760
% 0.18/0.44  varstack els 5000 last used 1
% 0.18/0.44  given_termbuf els 10000000 last used 1
% 0.18/0.44  simplified_termbuf els 10000000 last used 1
% 0.18/0.44  derived_termbuf els 10000000 last used 22
% 0.18/0.44  wr_mallocs: 1378
% 0.18/0.44  wr_callocs: 21
% 0.18/0.44  wr_reallocs: 191
% 0.18/0.44  wr_frees: 2
% 0.18/0.44  wr_malloc_bytes: 4162631108
% 0.18/0.44  wr_calloc_bytes: 112065536
% 0.18/0.44  wr_realloc_bytes: 61016
% 0.18/0.44  wr_realloc_freebytes: 0
% 0.18/0.44  ----------------------------------
% 0.18/0.44  
% 0.18/0.44  fork 7: search finished without proof.
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