TSTP Solution File: LCL131-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:37:24 EDT 2023

% Result   : Unsatisfiable 4.33s 1.09s
% Output   : CNFRefutation 4.33s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named s_6)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
    inference(cnf_transformation,[],[s_6]) ).

cnf('2',plain,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    inference(cnf_transformation,[],[condensed_detachment]) ).

cnf('3',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))
    | is_a_theorem(X) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z)),equivalent(equivalent(equivalent(U,V),equivalent(W,V)),equivalent(U,W)))),
    inference(resolution,[],['3','1']) ).

cnf('5',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z))),
    inference(resolution,[],['4','3']) ).

cnf('6',plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),U),equivalent(equivalent(X,Z),U))),
    inference(resolution,[],['5','3']) ).

cnf('7',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),U))
    | is_a_theorem(equivalent(equivalent(X,Z),U)) ),
    inference(resolution,[],['6','2']) ).

cnf('8',plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Z))),equivalent(X,equivalent(Y,U)))),
    inference(resolution,[],['7','1']) ).

cnf('9',plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(X,equivalent(U,Z)),equivalent(Y,U)))),
    inference(resolution,[],['8','7']) ).

cnf('10',plain,
    ( is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(U,Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(U,Z))) ),
    inference(resolution,[],['9','2']) ).

cnf('11',plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),Z)),equivalent(X,U))),
    inference(resolution,[],['6','3']) ).

cnf('12',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),Z)))
    | is_a_theorem(equivalent(X,U)) ),
    inference(resolution,[],['11','2']) ).

cnf('13',plain,
    is_a_theorem(equivalent(X,equivalent(X,equivalent(Y,Y)))),
    inference(resolution,[],['9','12']) ).

cnf('14',plain,
    ( is_a_theorem(equivalent(X,equivalent(Y,Y)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['13','2']) ).

cnf('15',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,Y)))
    | is_a_theorem(equivalent(X,Z)) ),
    inference(resolution,[],['5','2']) ).

cnf('16',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(equivalent(X,U),equivalent(Z,U)))),
    inference(resolution,[],['15','4']) ).

cnf('17',plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
    inference(resolution,[],['16','15']) ).

cnf('18',plain,
    is_a_theorem(equivalent(X,X)),
    inference(resolution,[],['17','15']) ).

cnf('19',plain,
    is_a_theorem(equivalent(equivalent(X,X),equivalent(Y,Y))),
    inference(resolution,[],['14','18']) ).

cnf('20',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,U),equivalent(Z,equivalent(U,Y))))),
    inference(resolution,[],['7','6']) ).

cnf('21',plain,
    ( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(Y,U))))
    | ~ is_a_theorem(equivalent(equivalent(X,U),Z)) ),
    inference(resolution,[],['20','2']) ).

cnf('22',plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Z),equivalent(Y,X)))),
    inference(resolution,[],['19','21']) ).

cnf('23',plain,
    ( is_a_theorem(equivalent(equivalent(X,X),equivalent(Y,Z)))
    | ~ is_a_theorem(equivalent(Z,Y)) ),
    inference(resolution,[],['22','2']) ).

cnf('24',plain,
    is_a_theorem(equivalent(equivalent(X,X),equivalent(equivalent(Y,equivalent(Z,Z)),Y))),
    inference(resolution,[],['23','13']) ).

cnf('25',plain,
    is_a_theorem(equivalent(X3,X3)),
    inference(resolution,[],['17','15']) ).

cnf('26',plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,Y)),X)),
    inference(resolution,[then_simplify],['24','2','25']) ).

cnf('27',plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))),
    inference(resolution,[],['7','18']) ).

cnf('28',plain,
    ( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,Y)))
    | ~ is_a_theorem(equivalent(X,Z)) ),
    inference(resolution,[],['27','2']) ).

cnf('29',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Y)),Z),equivalent(X,Z))),
    inference(resolution,[],['26','28']) ).

cnf('30',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(Y,Y)),Z))
    | is_a_theorem(equivalent(X,Z)) ),
    inference(resolution,[],['29','2']) ).

cnf('31',plain,
    is_a_theorem(equivalent(X,equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)))),
    inference(resolution,[],['30','9']) ).

cnf('32',plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(Z,U))),equivalent(equivalent(X,equivalent(U,Z)),Y))),
    inference(resolution,[],['10','31']) ).

cnf('33',plain,
    ( is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),U))
    | ~ is_a_theorem(equivalent(X,equivalent(U,equivalent(Z,Y)))) ),
    inference(resolution,[],['32','2']) ).

cnf('34',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)),X)),
    inference(resolution,[],['33','18']) ).

cnf('35',plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),U),equivalent(X,equivalent(U,equivalent(Z,Y))))),
    inference(resolution,[],['34','21']) ).

cnf('36',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),U))
    | is_a_theorem(equivalent(X,equivalent(U,equivalent(Z,Y)))) ),
    inference(resolution,[],['35','2']) ).

cnf('37',plain,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
    inference(cnf_transformation,[],[prove_lg_2]) ).

cnf('38',plain,
    $false,
    inference(resolution,[then_simplify],['36','1','37']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug 24 21:48:43 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.39  
% 0.12/0.39  input clause set summed statistics:
% 0.12/0.39  ----------------------------------
% 0.12/0.39  in_clause_count:                     3
% 0.12/0.39  in_rule_clause_count:                3
% 0.12/0.39  in_fact_clause_count:                0
% 0.12/0.39  in_answer_clause_count:              0
% 0.12/0.39  in_ground_clause_count:              1
% 0.12/0.39  in_unit_clause_count:                2
% 0.12/0.39  in_horn_clause_count:                3
% 0.12/0.39  in_pos_clause_count:                 1
% 0.12/0.39  in_neg_clause_count:                 1
% 0.12/0.39  in_poseq_clause_count:               0
% 0.12/0.39  in_negeq_clause_count:               0
% 0.12/0.39  in_unitposeq_clause_count:           0
% 0.12/0.39  in_chain_clause_count:               0
% 0.12/0.39  in_min_length:             1
% 0.12/0.39  in_max_length:             3
% 0.12/0.39  in_min_depth:              2
% 0.12/0.39  in_max_depth:              6
% 0.12/0.39  in_min_size:               8
% 0.12/0.39  in_max_size:              16
% 0.12/0.39  in_min_vars:               0
% 0.12/0.39  in_max_vars:               4
% 0.12/0.39  in_extaxiom_count:                 0
% 0.12/0.39  in_axiom_count:                    2
% 0.12/0.39  in_assumption_count:               0
% 0.12/0.39  in_goal_count:                     1
% 0.12/0.39  in_neg_goal_count:                 1
% 0.12/0.39  in_pos_goal_count:                 0
% 0.12/0.39  in_posunit_goal_count:             0
% 0.12/0.39  
% 0.12/0.39  auto guide:
% 0.12/0.39  -----------
% 0.12/0.39  {
% 0.12/0.39  "print":1,
% 0.12/0.39  "print_level": 15,
% 0.12/0.39  "max_size": 0,
% 0.12/0.39  "max_depth": 0,
% 0.12/0.39  "max_length": 0,
% 0.12/0.39  "max_dseconds": 0,
% 0.12/0.39  "equality":0,
% 0.12/0.39  "runs":[
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.12/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.12/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.12/0.39  
% 0.12/0.39  ]}
% 0.12/0.39  
% 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,"strategy":["hardness_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"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 4 fork 3 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"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"],"weight_select_ratio":20}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 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 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.51  
% 0.19/0.51  fork 7: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 0: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 2: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 5: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 3: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 4: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 6: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 16 fork 7 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 11 fork 2 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.54  
% 0.19/0.54  **** run 9 fork 0 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 12 fork 3 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 14 fork 5 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 13 fork 4 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.55  
% 0.19/0.55  **** run 15 fork 6 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 0.19/0.65  
% 0.19/0.65  fork 7: search finished without proof.
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 2: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  fork 6: search finished without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 5: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 4: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 3: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  **** run 24 fork 7 starts with strategy
% 0.19/0.66  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.19/0.67  
% 0.19/0.67  **** run 19 fork 2 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.19/0.67  
% 0.19/0.67  **** run 23 fork 6 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 0.19/0.68  
% 0.19/0.68  **** run 20 fork 3 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.19/0.68  
% 0.19/0.68  **** run 22 fork 5 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.68  
% 0.19/0.68  **** run 21 fork 4 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.19/0.78  
% 0.19/0.78  fork 3: search finished without proof.
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  fork 6: search terminated without proof.
% 0.19/0.79  
% 0.19/0.79  fork 7: search finished without proof.
% 0.19/0.80  
% 0.19/0.80  
% 0.19/0.80  fork 4: search terminated without proof.
% 0.19/0.80  
% 0.19/0.80  **** run 28 fork 3 starts with strategy
% 0.19/0.80  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.19/0.80  
% 0.19/0.80  **** run 31 fork 6 starts with strategy
% 0.19/0.80  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.19/0.80  
% 0.19/0.80  
% 0.19/0.80  fork 2: search terminated without proof.
% 0.19/0.81  
% 0.19/0.81  **** run 32 fork 7 starts with strategy
% 0.19/0.81  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 0.19/0.81  
% 0.19/0.81  fork 5: search finished without proof.
% 0.19/0.81  
% 0.19/0.81  **** run 29 fork 4 starts with strategy
% 0.19/0.81  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.19/0.82  
% 0.19/0.82  **** run 27 fork 2 starts with strategy
% 0.19/0.82  {"max_dseconds":1,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
% 2.10/0.83  
% 2.10/0.83  **** run 30 fork 5 starts with strategy
% 2.10/0.83  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.10/0.85  
% 2.10/0.85  fork 4: search finished without proof.
% 2.10/0.86  
% 2.10/0.86  **** run 37 fork 4 starts with strategy
% 2.10/0.86  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.44/0.92  
% 3.44/0.92  
% 3.44/0.92  fork 3: search terminated without proof.
% 3.44/0.93  
% 3.44/0.93  fork 7: search finished without proof.
% 3.44/0.94  
% 3.44/0.94  **** run 36 fork 3 starts with strategy
% 3.44/0.94  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 3.44/0.94  
% 3.44/0.94  fork 6: search finished without proof.
% 3.44/0.94  
% 3.44/0.94  
% 3.44/0.94  fork 2: search terminated without proof.
% 3.44/0.95  
% 3.44/0.95  fork 5: search finished without proof.
% 3.44/0.95  
% 3.44/0.95  **** run 40 fork 7 starts with strategy
% 3.44/0.95  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 3.84/0.96  
% 3.84/0.96  **** run 39 fork 6 starts with strategy
% 3.84/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 3.84/0.96  
% 3.84/0.96  **** run 38 fork 5 starts with strategy
% 3.84/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 3.84/0.96  
% 3.84/0.96  **** run 35 fork 2 starts with strategy
% 3.84/0.96  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 3.91/0.98  
% 3.91/0.98  fork 6: search finished without proof.
% 3.91/0.98  
% 3.91/0.98  
% 3.91/0.98  fork 4: search terminated without proof.
% 3.91/1.00  
% 3.91/1.00  **** run 47 fork 6 starts with strategy
% 3.91/1.00  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 3.91/1.00  
% 3.91/1.00  **** run 45 fork 4 starts with strategy
% 3.91/1.00  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 4.33/1.06  
% 4.33/1.06  
% 4.33/1.06  fork 3: search terminated without proof.
% 4.33/1.07  
% 4.33/1.07  fork 7: search finished without proof.
% 4.33/1.08  
% 4.33/1.08  **** run 44 fork 3 starts with strategy
% 4.33/1.08  {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 4.33/1.08  
% 4.33/1.08  fork 2: search finished without proof.
% 4.33/1.08  
% 4.33/1.08  **** run 48 fork 7 starts with strategy
% 4.33/1.08  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.33/1.09  
% 4.33/1.09  
% 4.33/1.09  result: proof found
% 4.33/1.09  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.33/1.09  by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.33/1.09  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.33/1.09  
% 4.33/1.09  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 4.33/1.09  
% 4.33/1.09  run 9 fork 0 statistics:
% 4.33/1.09  ----------------------------------
% 4.33/1.09  this run seconds: 0.065662
% 4.33/1.09  total seconds: 0.233122
% 4.33/1.09  stat_given_used: 269
% 4.33/1.09  stat_given_used_at_endgame: 0
% 4.33/1.09  stat_given_candidates:   343
% 4.33/1.09  stat_given_candidates_at_endgame: 0
% 4.33/1.09  stat_given_candidates_h: 0
% 4.33/1.09  stat_binres_derived_cl:   15347
% 4.33/1.09  stat_binres_derived_cl_h: 0
% 4.33/1.09  stat_factor_derived_cl: 0
% 4.33/1.09  stat_para_derived_cl: 0
% 4.33/1.09  stat_tautologies_discarded: 2
% 4.33/1.09  stat_forward_subsumed: 9956
% 4.33/1.09  stat_derived_cut: 19
% 4.33/1.09  stat_derived_rewritten: 0
% 4.33/1.09  stat_weight_discarded_building: 0
% 4.33/1.09  stat_weight_discarded_cl: 1040
% 4.33/1.09  stat_internlimit_discarded_cl: 0
% 4.33/1.09  stat_simplified:  0 simplified 0 derived 0 given
% 4.33/1.09  stat_kept_cl: 4348
% 4.33/1.09  stat_built_cl: 5926
% 4.33/1.09  stat_hyperres_partial_cl: 0
% 4.33/1.09  stat_made_rewriters: 0
% 4.33/1.09  stat_backward_subsumed: 0
% 4.33/1.09  stat_propagated_subsumed: 0
% 4.33/1.09  stat_clsubs_attempted:                     14515
% 4.33/1.09  stat_clsubs_fact_groundunit_found:             0
% 4.33/1.09  stat_clsubs_rule_groundunit_found:             1
% 4.33/1.09  stat_clsubs_top_meta_attempted:              38358
% 4.33/1.09  stat_clsubs_top_meta_failed:                 23843
% 4.33/1.09  stat_clsubs_top_meta_nonpref_attempted:               38358
% 4.33/1.09  stat_clsubs_top_meta_nonpref_succeeded:               14515
% 4.33/1.09  stat_clsubs_top_meta_pref_attempted:                  14515
% 4.33/1.09  stat_clsubs_top_meta_pref1_succeeded:                 14515
% 4.33/1.09  stat_clsubs_top_meta_pref2_succeeded:                 14515
% 4.33/1.09  stat_clsubs_top_meta_pref3_succeeded:                 14515
% 4.33/1.09  stat_clsubs_top_meta_pref_succeeded:                  14515
% 4.33/1.09  stat_clsubs_meta_attempted:                17034
% 4.33/1.09  stat_clsubs_meta_failed:                    6043
% 4.33/1.09  stat_clsubs_predsymbs_attempted:               0
% 4.33/1.09  stat_clsubs_unit_attempted:                 9364
% 4.33/1.09  stat_clsubs_full_attempted:                 5151
% 4.33/1.09  stat_forwardsubs_attempted:                15345
% 4.33/1.09  stat_lit_hash_added:                   4469
% 4.33/1.09  stat_lit_hash_computed:               20906
% 4.33/1.09  stat_lit_hash_match_found:             9986
% 4.33/1.09  stat_lit_hash_match_miss:             12098
% 4.33/1.09  stat_lit_hash_cut_ok:                    29
% 4.33/1.09  stat_lit_strong_cut_ok:                   1
% 4.33/1.09  stat_lit_hash_subsume_ok:              9956
% 4.33/1.09  clqueue els 10000000 used 1
% 4.33/1.09  clactive els 10000000 used 270
% 4.33/1.09  clactivesubsume els 10000000 used 1609
% 4.33/1.09  queue_termbuf els 200000000 used 401069
% 4.33/1.09  hyper_termbuf els 100000000 used 1
% 4.33/1.09  active_termbuf els 100000000 used 15676
% 4.33/1.09  varstack els 5000 last used 1
% 4.33/1.09  given_termbuf els 10000000 last used 1
% 4.33/1.09  simplified_termbuf els 10000000 last used 1
% 4.33/1.09  derived_termbuf els 10000000 last used 70
% 4.33/1.09  wr_mallocs: 16173
% 4.33/1.09  wr_callocs: 21
% 4.33/1.09  wr_reallocs: 1208
% 4.33/1.09  wr_frees: 2
% 4.33/1.09  wr_malloc_bytes: 4163139796
% 4.33/1.09  wr_calloc_bytes: 112065536
% 4.33/1.09  wr_realloc_bytes: 211024
% 4.33/1.09  wr_realloc_freebytes: 0
% 4.33/1.09  ----------------------------------
%------------------------------------------------------------------------------