TSTP Solution File: GRP029-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.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 00:51:58 EDT 2023

% Result   : Unsatisfiable 0.18s 0.78s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named associativity1)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],[associativity1]) ).

cnf('2',plain,
    ( ~ product(X,Y,Z)
    | product(X,Y,U)
    | ~ equalish(Z,U) ),
    inference(cnf_transformation,[],[product_substitution3]) ).

cnf('3',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],[total_function1]) ).

cnf('4',plain,
    ( ~ equalish(multiply(X,Y),Z)
    | product(X,Y,Z) ),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[total_function2]) ).

cnf('6',plain,
    product(identity,X,X),
    inference(cnf_transformation,[],[left_identity]) ).

cnf('7',plain,
    ( ~ product(identity,X,Y)
    | equalish(Y,X) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    equalish(multiply(identity,X),X),
    inference(resolution,[],['7','3']) ).

cnf('9',plain,
    product(identity,X,X),
    inference(resolution,[],['4','8']) ).

cnf('10',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,Z,U)
    | product(X,U,Z) ),
    inference(resolution,[],['1','9']) ).

cnf('11',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],[associativity2]) ).

cnf('12',plain,
    product(inverse(X),X,identity),
    inference(cnf_transformation,[],[left_inverse]) ).

cnf('13',plain,
    ( ~ product(X,inverse(Y),Z)
    | ~ product(X,identity,U)
    | product(Z,Y,U) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( product(inverse(X),X,Y)
    | ~ product(identity,identity,Y) ),
    inference(resolution,[],['13','9']) ).

cnf('15',plain,
    ( ~ equalish(X,Y)
    | ~ equalish(Z,X)
    | equalish(Z,Y) ),
    inference(cnf_transformation,[],[transitivity]) ).

cnf('16',plain,
    ( ~ equalish(X,multiply(identity,Y))
    | equalish(X,Y) ),
    inference(resolution,[],['8','15']) ).

cnf('17',plain,
    ( equalish(multiply(X,Y),multiply(Z,Y))
    | ~ equalish(X,Z) ),
    inference(cnf_transformation,[],[multiply_substitution1]) ).

cnf('18',plain,
    ( ~ equalish(X,Y)
    | equalish(Y,X) ),
    inference(cnf_transformation,[],[symmetry]) ).

cnf('19',plain,
    ( equalish(multiply(X,Y),multiply(Z,Y))
    | ~ equalish(Z,X) ),
    inference(resolution,[],['17','18']) ).

cnf('20',plain,
    ( equalish(multiply(X,Y),Y)
    | ~ equalish(identity,X) ),
    inference(resolution,[],['16','19']) ).

cnf('21',plain,
    ( equalish(X,multiply(Y,X))
    | ~ equalish(identity,Y) ),
    inference(resolution,[],['20','18']) ).

cnf('22',plain,
    ( equalish(X,multiply(Y,Z))
    | ~ equalish(identity,Y)
    | ~ equalish(X,Z) ),
    inference(resolution,[],['21','15']) ).

cnf('23',plain,
    ( equalish(identity,multiply(X,X))
    | ~ equalish(identity,X) ),
    inference(factorization,[],['22']) ).

cnf('24',plain,
    equalish(multiply(identity,multiply(identity,X)),X),
    inference(resolution,[],['16','8']) ).

cnf('25',plain,
    product(identity,multiply(identity,X),X),
    inference(resolution,[],['4','24']) ).

cnf('26',plain,
    ( ~ product(X,Y,Z)
    | product(X,U,Z)
    | ~ equalish(Y,U) ),
    inference(cnf_transformation,[],[product_substitution2]) ).

cnf('27',plain,
    ( ~ equalish(multiply(identity,X),Y)
    | product(identity,Y,X) ),
    inference(resolution,[],['25','26']) ).

cnf('28',plain,
    ( equalish(multiply(X,Y),multiply(X,Z))
    | ~ equalish(Y,Z) ),
    inference(cnf_transformation,[],[multiply_substitution2]) ).

cnf('29',plain,
    ( equalish(multiply(identity,X),Y)
    | ~ equalish(X,Y) ),
    inference(resolution,[],['16','28']) ).

cnf('30',plain,
    ( equalish(multiply(identity,X),Y)
    | ~ equalish(X,multiply(identity,Y)) ),
    inference(resolution,[],['29','16']) ).

cnf('31',plain,
    ( ~ equalish(X,multiply(identity,Y))
    | product(identity,Y,X) ),
    inference(resolution,[],['27','30']) ).

cnf('32',plain,
    ( ~ product(inverse(X),X,Y)
    | equalish(Y,identity) ),
    inference(resolution,[],['5','12']) ).

cnf('33',plain,
    equalish(identity,identity),
    inference(resolution,[],['32','12']) ).

cnf('34',plain,
    product(identity,identity,identity),
    inference(resolution,[then_simplify],['23','31','33']) ).

cnf('35',plain,
    ( product(inverse(X),Y,Z)
    | ~ product(X,Z,Y) ),
    inference(resolution,[then_simplify],['10','14','34']) ).

cnf('36',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,U,Y)
    | product(Z,U,Z) ),
    inference(factorization,[],['11']) ).

cnf('37',plain,
    ( equalish(multiply(X,X),identity)
    | ~ equalish(identity,X) ),
    inference(resolution,[],['23','18']) ).

cnf('38',plain,
    ( product(X,X,identity)
    | ~ equalish(identity,X) ),
    inference(resolution,[],['37','4']) ).

cnf('39',plain,
    ( ~ product(X,identity,Y)
    | product(Y,identity,Y) ),
    inference(resolution,[then_simplify],['36','38','33']) ).

cnf('40',plain,
    ~ product(not_right_identity(X),X,not_right_identity(X)),
    inference(cnf_transformation,[],[prove_there_is_a_right_identity]) ).

cnf('41',plain,
    ~ product(X,identity,not_right_identity(identity)),
    inference(resolution,[],['39','40']) ).

cnf('42',plain,
    product(inverse(X0),X0,identity),
    inference(cnf_transformation,[],[left_inverse]) ).

cnf('43',plain,
    $false,
    inference(resolution,[then_simplify],['35','41','42']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : gkc %s
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Aug 29 00:14:30 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.36  
% 0.18/0.36  input clause set summed statistics:
% 0.18/0.36  ----------------------------------
% 0.18/0.36  in_clause_count:                    16
% 0.18/0.36  in_rule_clause_count:               14
% 0.18/0.36  in_fact_clause_count:                2
% 0.18/0.36  in_answer_clause_count:              0
% 0.18/0.36  in_ground_clause_count:              0
% 0.18/0.36  in_unit_clause_count:                5
% 0.18/0.36  in_horn_clause_count:               16
% 0.18/0.36  in_pos_clause_count:                 4
% 0.18/0.36  in_neg_clause_count:                 1
% 0.18/0.36  in_poseq_clause_count:               0
% 0.18/0.36  in_negeq_clause_count:               0
% 0.18/0.36  in_unitposeq_clause_count:           0
% 0.18/0.36  in_chain_clause_count:               0
% 0.18/0.36  in_min_length:             1
% 0.18/0.36  in_max_length:             4
% 0.18/0.36  in_min_depth:              1
% 0.18/0.36  in_max_depth:              2
% 0.18/0.36  in_min_size:               3
% 0.18/0.36  in_max_size:              16
% 0.18/0.36  in_min_vars:               1
% 0.18/0.36  in_max_vars:               6
% 0.18/0.36  in_extaxiom_count:                 0
% 0.18/0.36  in_axiom_count:                   15
% 0.18/0.36  in_assumption_count:               0
% 0.18/0.36  in_goal_count:                     1
% 0.18/0.36  in_neg_goal_count:                 1
% 0.18/0.36  in_pos_goal_count:                 0
% 0.18/0.36  in_posunit_goal_count:             0
% 0.18/0.36  
% 0.18/0.36  auto guide:
% 0.18/0.36  -----------
% 0.18/0.36  {
% 0.18/0.36  "print":1,
% 0.18/0.36  "print_level": 15,
% 0.18/0.36  "max_size": 0,
% 0.18/0.36  "max_depth": 0,
% 0.18/0.36  "max_length": 0,
% 0.18/0.36  "max_dseconds": 0,
% 0.18/0.36  "equality":0,
% 0.18/0.36  "runs":[
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.36  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.36  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.36  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.36  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.36  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.36  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.36  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.36  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.36  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.18/0.36  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.36  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.36  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.36  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.36  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.36  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.36  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.36  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.18/0.36  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.36  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.36  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.36  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.36  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.36  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.36  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.37  
% 0.18/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.18/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.18/0.37  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.18/0.37  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.37  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.18/0.37  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.37  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.18/0.37  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.37  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37  
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.37  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.37  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.37  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.18/0.37  
% 0.18/0.37  ]}
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  **** run 1 fork 0 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 2 fork 1 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 3 fork 2 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 4 fork 3 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 5 fork 4 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.37  
% 0.18/0.37  **** run 6 fork 5 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 7 fork 6 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.18/0.37  
% 0.18/0.37  **** run 8 fork 7 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.40  
% 0.18/0.40  fork 1: search finished without proof.
% 0.18/0.42  
% 0.18/0.42  **** run 10 fork 1 starts with strategy
% 0.18/0.42  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 0: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 3: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 2: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 4: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 6: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 5: search terminated without proof.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  fork 7: search terminated without proof.
% 0.18/0.52  
% 0.18/0.52  **** run 9 fork 0 starts with strategy
% 0.18/0.52  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.18/0.52  
% 0.18/0.52  **** run 12 fork 3 starts with strategy
% 0.18/0.52  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.18/0.52  
% 0.18/0.52  **** run 14 fork 5 starts with strategy
% 0.18/0.52  
% 0.18/0.52  **** run 16 fork 7 starts with strategy
% 0.18/0.52  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.18/0.52  
% 0.18/0.52  **** run 13 fork 4 starts with strategy
% 0.18/0.52  
% 0.18/0.52  **** run 15 fork 6 starts with strategy
% 0.18/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.18/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.52  **** run 11 fork 2 starts with strategy
% 0.18/0.52  
% 0.18/0.52  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.64  
% 0.18/0.64  
% 0.18/0.64  fork 0: search terminated without proof.
% 0.18/0.64  
% 0.18/0.64  
% 0.18/0.64  fork 6: search terminated without proof.
% 0.18/0.64  
% 0.18/0.64  
% 0.18/0.64  fork 4: search terminated without proof.
% 0.18/0.64  
% 0.18/0.64  
% 0.18/0.64  fork 7: search terminated without proof.
% 0.18/0.64  
% 0.18/0.64  
% 0.18/0.64  fork 5: search terminated without proof.
% 0.18/0.66  
% 0.18/0.66  **** run 17 fork 0 starts with strategy
% 0.18/0.66  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.18/0.66  
% 0.18/0.66  **** run 23 fork 6 starts with strategy
% 0.18/0.66  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.18/0.67  
% 0.18/0.67  **** run 24 fork 7 starts with strategy
% 0.18/0.67  
% 0.18/0.67  **** run 22 fork 5 starts with strategy
% 0.18/0.67  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.18/0.67  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.18/0.67  
% 0.18/0.67  **** run 21 fork 4 starts with strategy
% 0.18/0.67  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.18/0.78  
% 0.18/0.78  
% 0.18/0.78  result: proof found
% 0.18/0.78  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.78  by run 17 fork 0 strategy {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.18/0.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.78  
% 0.18/0.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.18/0.78  
% 0.18/0.78  run 17 fork 0 statistics:
% 0.18/0.78  ----------------------------------
% 0.18/0.78  this run seconds: 0.087269
% 0.18/0.78  total seconds: 0.414074
% 0.18/0.78  stat_given_used: 445
% 0.18/0.78  stat_given_used_at_endgame: 0
% 0.18/0.78  stat_given_candidates:   1460
% 0.18/0.78  stat_given_candidates_at_endgame: 0
% 0.18/0.78  stat_given_candidates_h: 0
% 0.18/0.78  stat_binres_derived_cl:   9582
% 0.18/0.78  stat_binres_derived_cl_h: 0
% 0.18/0.78  stat_factor_derived_cl: 58
% 0.18/0.78  stat_para_derived_cl: 0
% 0.18/0.78  stat_tautologies_discarded: 184
% 0.18/0.78  stat_forward_subsumed: 1636
% 0.18/0.78  stat_derived_cut: 269
% 0.18/0.78  stat_derived_rewritten: 0
% 0.18/0.78  stat_weight_discarded_building: 0
% 0.18/0.78  stat_weight_discarded_cl: 3424
% 0.18/0.78  stat_internlimit_discarded_cl: 0
% 0.18/0.78  stat_simplified:  23 simplified 0 derived 0 given
% 0.18/0.78  stat_kept_cl: 4395
% 0.18/0.78  stat_built_cl: 8732
% 0.18/0.78  stat_hyperres_partial_cl: 0
% 0.18/0.78  stat_made_rewriters: 0
% 0.18/0.78  stat_backward_subsumed: 0
% 0.18/0.78  stat_propagated_subsumed: 0
% 0.18/0.78  stat_clsubs_attempted:                      9175
% 0.18/0.78  stat_clsubs_fact_groundunit_found:             1
% 0.18/0.78  stat_clsubs_rule_groundunit_found:             0
% 0.18/0.78  stat_clsubs_top_meta_attempted:             168761
% 0.18/0.78  stat_clsubs_top_meta_failed:                159586
% 0.18/0.78  stat_clsubs_top_meta_nonpref_attempted:              168761
% 0.18/0.78  stat_clsubs_top_meta_nonpref_succeeded:               44895
% 0.18/0.78  stat_clsubs_top_meta_pref_attempted:                  44895
% 0.18/0.78  stat_clsubs_top_meta_pref1_succeeded:                 14340
% 0.18/0.78  stat_clsubs_top_meta_pref2_succeeded:                  9429
% 0.18/0.78  stat_clsubs_top_meta_pref3_succeeded:                  9175
% 0.18/0.78  stat_clsubs_top_meta_pref_succeeded:                   9175
% 0.18/0.78  stat_clsubs_meta_attempted:                16776
% 0.18/0.78  stat_clsubs_meta_failed:                    5598
% 0.18/0.78  stat_clsubs_predsymbs_attempted:               0
% 0.18/0.78  stat_clsubs_unit_attempted:                 2354
% 0.18/0.78  stat_clsubs_full_attempted:                 6821
% 0.18/0.78  stat_forwardsubs_attempted:                 9456
% 0.18/0.78  stat_lit_hash_added:                   4854
% 0.18/0.78  stat_lit_hash_computed:               50399
% 0.18/0.78  stat_lit_hash_match_found:             2043
% 0.18/0.78  stat_lit_hash_match_miss:             56766
% 0.18/0.78  stat_lit_hash_cut_ok:                   429
% 0.18/0.78  stat_lit_strong_cut_ok:                  21
% 0.18/0.78  stat_lit_hash_subsume_ok:              1636
% 0.18/0.78  clqueue els 10000000 used 1
% 0.18/0.78  clactive els 10000000 used 446
% 0.18/0.78  clactivesubsume els 10000000 used 2179
% 0.18/0.78  queue_termbuf els 200000000 used 222604
% 0.18/0.78  hyper_termbuf els 100000000 used 1
% 0.18/0.78  active_termbuf els 100000000 used 14458
% 0.18/0.78  varstack els 5000 last used 1
% 0.18/0.78  given_termbuf els 10000000 last used 1
% 0.18/0.78  simplified_termbuf els 10000000 last used 1
% 0.18/0.78  derived_termbuf els 10000000 last used 29
% 0.18/0.78  wr_mallocs: 2394
% 0.18/0.78  wr_callocs: 21
% 0.18/0.78  wr_reallocs: 974
% 0.18/0.78  wr_frees: 2
% 0.18/0.78  wr_malloc_bytes: 4162667524
% 0.18/0.78  wr_calloc_bytes: 112065536
% 0.18/0.78  wr_realloc_bytes: 303216
% 0.18/0.78  wr_realloc_freebytes: 0
% 0.18/0.78  ----------------------------------
% 0.18/0.78  
% 0.18/0.78  
% 0.18/0.78  fork 6: search terminated without proof.
%------------------------------------------------------------------------------