TSTP Solution File: SEV515+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:30:03 EDT 2023

% Result   : Theorem 0.20s 0.46s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14  % Command  : gkc %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 02:59:10 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.41  
% 0.14/0.41  input clause set summed statistics:
% 0.14/0.41  ----------------------------------
% 0.14/0.41  in_clause_count:                    55
% 0.14/0.41  in_rule_clause_count:               55
% 0.14/0.41  in_fact_clause_count:                0
% 0.14/0.41  in_answer_clause_count:              0
% 0.14/0.41  in_ground_clause_count:              0
% 0.14/0.41  in_unit_clause_count:                0
% 0.14/0.41  in_horn_clause_count:               31
% 0.14/0.41  in_pos_clause_count:                 6
% 0.14/0.41  in_neg_clause_count:                21
% 0.14/0.41  in_poseq_clause_count:               0
% 0.14/0.41  in_negeq_clause_count:               0
% 0.14/0.41  in_unitposeq_clause_count:           0
% 0.14/0.41  in_chain_clause_count:               0
% 0.14/0.41  in_min_length:             2
% 0.14/0.41  in_max_length:             6
% 0.14/0.41  in_min_depth:              1
% 0.14/0.41  in_max_depth:              2
% 0.14/0.41  in_min_size:               4
% 0.14/0.41  in_max_size:              22
% 0.14/0.41  in_min_vars:               1
% 0.14/0.41  in_max_vars:               3
% 0.14/0.41  in_extaxiom_count:                 0
% 0.14/0.41  in_axiom_count:                   10
% 0.14/0.41  in_assumption_count:               0
% 0.14/0.41  in_goal_count:                    45
% 0.14/0.41  in_neg_goal_count:                19
% 0.14/0.41  in_pos_goal_count:                 5
% 0.14/0.41  in_posunit_goal_count:             0
% 0.14/0.41  
% 0.14/0.41  auto guide:
% 0.14/0.41  -----------
% 0.14/0.41  {
% 0.14/0.41  "print":1,
% 0.14/0.41  "print_level": 15,
% 0.14/0.41  "max_size": 0,
% 0.14/0.41  "max_depth": 0,
% 0.14/0.41  "max_length": 0,
% 0.14/0.41  "max_dseconds": 0,
% 0.14/0.41  "equality":0,
% 0.14/0.41  "runs":[
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.14/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.14/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.14/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.14/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.14/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.14/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.14/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.14/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.14/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.14/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.14/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.14/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.14/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.14/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.14/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.14/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.14/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.14/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.41  
% 0.14/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.14/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.14/0.41  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.14/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.41  
% 0.14/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.14/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.14/0.41  
% 0.14/0.41  ]}
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  **** run 1 fork 0 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 2 fork 1 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 3 fork 2 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 4 fork 3 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 5 fork 4 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.14/0.41  
% 0.14/0.41  **** run 6 fork 5 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 7 fork 6 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.14/0.41  
% 0.14/0.41  **** run 8 fork 7 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.45  
% 0.20/0.45  fork 7: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  fork 5: search finished without proof.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  result: proof found
% 0.20/0.46  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  by run 2 fork 1 strategy {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  
% 0.20/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  fof('nc1_$sk', plain, ((((g_true_only(X1,X1) & g_false_only(X1,$sk1)) | (g_false_only(X1,X1) & g_true_only(X1,$sk1))) | ((((g_both($sk2(X2),$sk2(X2)) | g_false_only($sk2(X2),$sk2(X2))) & g_false_only($sk2(X2),X2)) | (((g_true_only($sk3(X2),$sk3(X2)) | g_false_only($sk3(X2),$sk3(X2))) & g_both($sk3(X2),X2)) | ((g_true_only($sk3(X2),$sk3(X2)) | g_both($sk3(X2),$sk3(X2))) & g_true_only($sk3(X2),X2)))) | (~g_both(X3,X3) | ~g_both(X3,X2)))) & (((~g_both(X4,X4) & ~g_false_only(X4,X4)) | ~g_false_only(X4,$sk4)) & (((~g_true_only(X5,X5) & ~g_false_only(X5,X5)) | ~g_both(X5,$sk4)) & ((~g_true_only(X5,X5) & ~g_both(X5,X5)) | ~g_true_only(X5,$sk4))))),
% 0.20/0.46    inference(negpush_and_skolemize,[],['nc1'])).
% 0.20/0.46  fof('nc1', conjecture, ((! [A] : (? [B] : (((g_true_only(B,A) & (g_both(B,B) | g_true_only(B,B))) | (g_both(B,A) & (g_false_only(B,B) | g_true_only(B,B)))) | (g_false_only(B,A) & (g_false_only(B,B) | g_both(B,B)))))) | ((? [A] : ((? [B] : (g_both(B,A) & g_both(B,B))) & ~(? [B] : (((g_true_only(B,A) & (g_both(B,B) | g_true_only(B,B))) | (g_both(B,A) & (g_false_only(B,B) | g_true_only(B,B)))) | (g_false_only(B,A) & (g_false_only(B,B) | g_both(B,B))))))) & ~(? [A] : (! [B] : ((g_true_only(B,A) & g_false_only(B,B)) | (g_false_only(B,A) & g_true_only(B,B))))))),
% 0.20/0.46    input). 
% 0.20/0.46  fof('exhaustion_g_$sk', plain, (g_false_only(X2,X1) | (g_both(X2,X1) | g_true_only(X2,X1))),
% 0.20/0.46    inference(negpush_and_skolemize,[],['exhaustion_g'])).
% 0.20/0.46  fof('exhaustion_g', axiom, (! [X_2,X_1] : ((g_true_only(X_2,X_1) | g_both(X_2,X_1)) | g_false_only(X_2,X_1))),
% 0.20/0.46    input). 
% 0.20/0.46  cnf('1', plain, (~g_both(X,X) | ~g_both(X,Y) | g_true_only(Z,$sk1) | g_true_only(Z,Z) | $df2(Y) | $df1(Y)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('2', plain, (~g_both(X,X) | g_true_only(Y,$sk1) | g_true_only(Y,Y) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(factorization,[],['1'])).
% 0.20/0.46  cnf('3', plain, (g_true_only($sk1,$sk1) | ~g_both(X,X) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(factorization,[],['2'])).
% 0.20/0.46  cnf('4', plain, (g_both(X,Y) | g_false_only(X,Y) | g_true_only(X,Y)),
% 0.20/0.46    inference(cnf_transformation,[],['exhaustion_g_$sk'])).
% 0.20/0.46  cnf('5', plain, (g_true_only($sk1,$sk1) | g_false_only(X,X) | g_true_only(X,X) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(resolution,[],['3','4'])).
% 0.20/0.46  cnf('6', plain, (~g_both(X,X) | ~g_false_only(X,$sk4)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('7', plain, (~g_false_only(X,$sk4) | g_false_only(X,X) | g_true_only(X,X)),
% 0.20/0.46    inference(resolution,[],['4','6'])).
% 0.20/0.46  cnf('8', plain, (~g_true_only(X,$sk4) | ~g_true_only(X,X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('9', plain, (~g_true_only($sk4,$sk4)),
% 0.20/0.46    inference(factorization,[],['8'])).
% 0.20/0.46  cnf('10', plain, (~g_false_only(X,$sk4) | ~g_false_only(X,X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('11', plain, (~g_false_only($sk4,$sk4)),
% 0.20/0.46    inference(factorization,[],['10'])).
% 0.20/0.46  cnf('12', plain, (g_true_only($sk1,$sk1) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[then_simplify],['5','7','9','11'])).
% 0.20/0.46  cnf('13', plain, (~g_both(X,X) | ~g_both(X,Y) | g_false_only(Z,$sk1) | g_false_only(Z,Z) | $df2(Y) | $df1(Y)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('14', plain, (~g_both(X,X) | g_false_only(Y,$sk1) | g_false_only(Y,Y) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(factorization,[],['13'])).
% 0.20/0.46  cnf('15', plain, (g_false_only($sk1,$sk1) | ~g_both(X,X) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(factorization,[],['14'])).
% 0.20/0.46  cnf('16', plain, (g_false_only($sk1,$sk1) | g_false_only(X,X) | g_true_only(X,X) | $df2(X) | $df1(X)),
% 0.20/0.46    inference(resolution,[],['15','4'])).
% 0.20/0.46  cnf('17', plain, (g_false_only($sk1,$sk1) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[then_simplify],['16','7','9','11'])).
% 0.20/0.46  cnf('18', plain, (~g_both(X,$sk4) | ~g_false_only(X,X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('19', plain, (~g_false_only(X,X) | g_false_only(X,$sk4) | g_true_only(X,$sk4)),
% 0.20/0.46    inference(resolution,[],['4','18'])).
% 0.20/0.46  cnf('20', plain, (g_true_only($sk1,$sk4) | g_false_only($sk1,$sk4) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[],['17','19'])).
% 0.20/0.46  cnf('21', plain, (~g_false_only($sk1,$sk1) | g_true_only($sk1,$sk4) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[],['20','10'])).
% 0.20/0.46  cnf('22', plain, (g_true_only($sk1,$sk4) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[],['21','17'])).
% 0.20/0.46  cnf('23', plain, (~g_true_only($sk1,$sk1) | $df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[],['22','8'])).
% 0.20/0.46  cnf('24', plain, ($df1($sk4) | $df2($sk4)),
% 0.20/0.46    inference(resolution,[],['12','23'])).
% 0.20/0.46  cnf('25', plain, (g_both($sk3(X),$sk3(X)) | g_true_only($sk3(X),$sk3(X)) | g_both($sk3(X),X) | ~$df2(X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('26', plain, (g_true_only($sk3($sk4),$sk3($sk4)) | g_both($sk3($sk4),$sk3($sk4)) | g_both($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['24','25'])).
% 0.20/0.46  cnf('27', plain, (g_false_only($sk3(X),$sk3(X)) | g_true_only($sk3(X),$sk3(X)) | g_true_only($sk3(X),X) | ~$df2(X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('28', plain, (g_false_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['24','27'])).
% 0.20/0.46  cnf('29', plain, (g_both($sk3(X),X) | g_true_only($sk3(X),X) | ~$df2(X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('30', plain, (g_true_only($sk3($sk4),$sk4) | g_both($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['24','29'])).
% 0.20/0.46  cnf('31', plain, (~g_false_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['30','18'])).
% 0.20/0.46  cnf('32', plain, (g_true_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['28','31'])).
% 0.20/0.46  cnf('33', plain, (~g_both(X,$sk4) | ~g_true_only(X,X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('34', plain, (~g_true_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['30','33'])).
% 0.20/0.46  cnf('35', plain, (g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['32','34'])).
% 0.20/0.46  cnf('36', plain, (~g_true_only($sk3($sk4),$sk3($sk4)) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['35','8'])).
% 0.20/0.46  cnf('37', plain, (g_both($sk3($sk4),$sk3($sk4)) | g_both($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(simplify,[],['26','36'])).
% 0.20/0.46  cnf('38', plain, (~g_both(X,X) | ~g_true_only(X,$sk4)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('39', plain, (~g_true_only($sk3($sk4),$sk4) | g_both($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['37','38'])).
% 0.20/0.46  cnf('40', plain, (g_true_only($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['32','34'])).
% 0.20/0.46  cnf('41', plain, (g_both($sk3($sk4),$sk4) | $df1($sk4)),
% 0.20/0.46    inference(simplify,[],['39','40'])).
% 0.20/0.46  cnf('42', plain, (~g_false_only($sk3($sk4),$sk3($sk4)) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['41','18'])).
% 0.20/0.46  cnf('43', plain, (~g_true_only(X,$sk4) | g_false_only(X,X) | g_true_only(X,X)),
% 0.20/0.46    inference(resolution,[],['4','38'])).
% 0.20/0.46  cnf('44', plain, (g_false_only($sk3($sk4),$sk3($sk4)) | g_true_only($sk3($sk4),$sk3($sk4)) | $df1($sk4)),
% 0.20/0.46    inference(resolution,[],['35','43'])).
% 0.20/0.46  cnf('45', plain, (g_false_only($sk3($sk4),$sk3($sk4)) | $df1($sk4)),
% 0.20/0.46    inference(simplify,[],['44','36'])).
% 0.20/0.46  cnf('46', plain, ($df1($sk4)),
% 0.20/0.46    inference(resolution,[],['42','45'])).
% 0.20/0.46  cnf('47', plain, (g_both($sk2(X),$sk2(X)) | g_false_only($sk2(X),$sk2(X)) | ~$df1(X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('48', plain, (g_false_only($sk2($sk4),$sk2($sk4)) | g_both($sk2($sk4),$sk2($sk4))),
% 0.20/0.46    inference(resolution,[],['46','47'])).
% 0.20/0.46  cnf('49', plain, (g_false_only($sk2(X),X) | ~$df1(X)),
% 0.20/0.46    inference(cnf_transformation,[],['nc1_$sk'])).
% 0.20/0.46  cnf('50', plain, (g_false_only($sk2($sk4),$sk4)),
% 0.20/0.46    inference(resolution,[],['46','49'])).
% 0.20/0.46  cnf('51', plain, (~g_false_only($sk2($sk4),$sk2($sk4))),
% 0.20/0.46    inference(resolution,[],['50','10'])).
% 0.20/0.46  cnf('52', plain, (g_both($sk2($sk4),$sk2($sk4))),
% 0.20/0.46    inference(simplify,[],['48','51'])).
% 0.20/0.46  cnf('53', plain, (g_false_only($sk2($sk4),$sk4)),
% 0.20/0.46    inference(resolution,[],['46','49'])).
% 0.20/0.46  cnf('54', plain, ($false),
% 0.20/0.46    inference(resolution,[then_simplify],['52','6','53'])).
% 0.20/0.46  
% 0.20/0.46  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  
% 0.20/0.46  run 2 fork 1 statistics:
% 0.20/0.46  ----------------------------------
% 0.20/0.46  this run seconds: 0.015424
% 0.20/0.46  total seconds: 0.050109
% 0.20/0.46  stat_given_used: 102
% 0.20/0.46  stat_given_used_at_endgame: 0
% 0.20/0.46  stat_given_candidates:   151
% 0.20/0.46  stat_given_candidates_at_endgame: 0
% 0.20/0.46  stat_given_candidates_h: 0
% 0.20/0.46  stat_binres_derived_cl:   183
% 0.20/0.46  stat_binres_derived_cl_h: 0
% 0.20/0.46  stat_factor_derived_cl: 16
% 0.20/0.46  stat_para_derived_cl: 0
% 0.20/0.46  stat_tautologies_discarded: 5
% 0.20/0.46  stat_forward_subsumed: 4
% 0.20/0.46  stat_derived_cut: 17
% 0.20/0.46  stat_derived_rewritten: 0
% 0.20/0.46  stat_weight_discarded_building: 0
% 0.20/0.46  stat_weight_discarded_cl: 0
% 0.20/0.46  stat_internlimit_discarded_cl: 0
% 0.20/0.46  stat_simplified:  12 simplified 0 derived 0 given
% 0.20/0.46  stat_kept_cl: 189
% 0.20/0.46  stat_built_cl: 405
% 0.20/0.46  stat_hyperres_partial_cl: 0
% 0.20/0.46  stat_made_rewriters: 0
% 0.20/0.46  stat_backward_subsumed: 0
% 0.20/0.46  stat_propagated_subsumed: 0
% 0.20/0.46  stat_clsubs_attempted:                       103
% 0.20/0.46  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.46  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.46  stat_clsubs_top_meta_attempted:               7031
% 0.20/0.46  stat_clsubs_top_meta_failed:                  6928
% 0.20/0.46  stat_clsubs_top_meta_nonpref_attempted:                7031
% 0.20/0.46  stat_clsubs_top_meta_nonpref_succeeded:                1264
% 0.20/0.46  stat_clsubs_top_meta_pref_attempted:                   1264
% 0.20/0.46  stat_clsubs_top_meta_pref1_succeeded:                   112
% 0.20/0.46  stat_clsubs_top_meta_pref2_succeeded:                   107
% 0.20/0.46  stat_clsubs_top_meta_pref3_succeeded:                   103
% 0.20/0.46  stat_clsubs_top_meta_pref_succeeded:                    103
% 0.20/0.46  stat_clsubs_meta_attempted:                  336
% 0.20/0.46  stat_clsubs_meta_failed:                     126
% 0.20/0.46  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.46  stat_clsubs_unit_attempted:                    0
% 0.20/0.46  stat_clsubs_full_attempted:                  103
% 0.20/0.46  stat_forwardsubs_attempted:                  194
% 0.20/0.46  stat_lit_hash_added:                     87
% 0.20/0.46  stat_lit_hash_computed:                2814
% 0.20/0.46  stat_lit_hash_match_found:               15
% 0.20/0.46  stat_lit_hash_match_miss:              3966
% 0.20/0.46  stat_lit_hash_cut_ok:                    22
% 0.20/0.46  stat_lit_strong_cut_ok:                   0
% 0.20/0.46  stat_lit_hash_subsume_ok:                 4
% 0.20/0.46  clqueue els 10000000 used 1
% 0.20/0.46  clactive els 10000000 used 103
% 0.20/0.46  clactivesubsume els 10000000 used 577
% 0.20/0.46  queue_termbuf els 200000000 used 13329
% 0.20/0.46  hyper_termbuf els 100000000 used 1
% 0.20/0.46  active_termbuf els 100000000 used 3981
% 0.20/0.46  varstack els 5000 last used 1
% 0.20/0.46  given_termbuf els 10000000 last used 1
% 0.20/0.46  simplified_termbuf els 10000000 last used 1
% 0.20/0.46  derived_termbuf els 10000000 last used 28
% 0.20/0.46  wr_mallocs: 477
% 0.20/0.46  wr_callocs: 21
% 0.20/0.46  wr_reallocs: 36
% 0.20/0.46  wr_frees: 4
% 0.20/0.46  wr_malloc_bytes: 4162612068
% 0.20/0.46  wr_calloc_bytes: 112065536
% 0.20/0.46  wr_realloc_bytes: 29936
% 0.20/0.46  wr_realloc_freebytes: 0
% 0.20/0.46  ----------------------------------
%------------------------------------------------------------------------------