TSTP Solution File: FLD031-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n008.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 : Wed Aug 30 22:32:04 EDT 2023

% Result   : Unsatisfiable 0.21s 0.70s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_associativity_multiplication_1')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity_multiplication_1']) ).

cnf('2',plain,
    product(multiplicative_identity,a,multiplicative_identity),
    inference(cnf_transformation,[],[product_2]) ).

cnf('3',plain,
    ( ~ product(X,Y,multiplicative_identity)
    | ~ product(Y,a,Z)
    | product(X,Z,multiplicative_identity) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( product(multiplicative_inverse(X),X,multiplicative_identity)
    | sum(additive_identity,X,additive_identity)
    | ~ defined(X) ),
    inference(cnf_transformation,[],['$inc_existence_of_inverse_multiplication']) ).

cnf('5',plain,
    defined(a),
    inference(cnf_transformation,[],[a_is_defined]) ).

cnf('6',plain,
    ~ sum(additive_identity,a,additive_identity),
    inference(cnf_transformation,[],[not_sum_3]) ).

cnf('7',plain,
    product(multiplicative_inverse(a),a,multiplicative_identity),
    inference(resolution,[then_simplify],['4','5','6']) ).

cnf('8',plain,
    ( product(multiplicative_inverse(a),X,multiplicative_identity)
    | ~ product(a,a,X) ),
    inference(resolution,[],['3','7']) ).

cnf('9',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity_multiplication_2']) ).

cnf('10',plain,
    ( ~ product(X,multiplicative_identity,Y)
    | ~ product(X,multiplicative_identity,Z)
    | product(Y,a,Z) ),
    inference(resolution,[],['9','2']) ).

cnf('11',plain,
    ( ~ product(X,Y,Z)
    | product(Y,X,Z) ),
    inference(cnf_transformation,[],['$inc_commutativity_multiplication']) ).

cnf('12',plain,
    ( product(multiplicative_identity,X,X)
    | ~ defined(X) ),
    inference(cnf_transformation,[],['$inc_existence_of_identity_multiplication']) ).

cnf('13',plain,
    product(multiplicative_identity,a,a),
    inference(resolution,[],['12','5']) ).

cnf('14',plain,
    product(a,multiplicative_identity,a),
    inference(resolution,[],['11','13']) ).

cnf('15',plain,
    ( ~ product(a,multiplicative_identity,X)
    | product(a,a,X) ),
    inference(resolution,[],['10','14']) ).

cnf('16',plain,
    product(a,multiplicative_identity,multiplicative_identity),
    inference(resolution,[],['11','2']) ).

cnf('17',plain,
    product(a,a,multiplicative_identity),
    inference(resolution,[],['15','16']) ).

cnf('18',plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
    inference(resolution,[],['8','17']) ).

cnf('19',plain,
    ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    inference(cnf_transformation,[],[not_product_4]) ).

cnf('20',plain,
    $false,
    inference(resolution,[then_simplify],['18','11','19']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : gkc %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 23:17:32 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                    30
% 0.21/0.40  in_rule_clause_count:               26
% 0.21/0.40  in_fact_clause_count:                4
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:              7
% 0.21/0.40  in_unit_clause_count:                7
% 0.21/0.40  in_horn_clause_count:               27
% 0.21/0.40  in_pos_clause_count:                 4
% 0.21/0.40  in_neg_clause_count:                 3
% 0.21/0.40  in_poseq_clause_count:               0
% 0.21/0.40  in_negeq_clause_count:               0
% 0.21/0.40  in_unitposeq_clause_count:           0
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:             5
% 0.21/0.40  in_min_depth:              1
% 0.21/0.40  in_max_depth:              2
% 0.21/0.40  in_min_size:               2
% 0.21/0.40  in_max_size:              20
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               7
% 0.21/0.40  in_extaxiom_count:                26
% 0.21/0.40  in_axiom_count:                    0
% 0.21/0.40  in_assumption_count:               1
% 0.21/0.40  in_goal_count:                     3
% 0.21/0.40  in_neg_goal_count:                 2
% 0.21/0.40  in_pos_goal_count:                 1
% 0.21/0.40  in_posunit_goal_count:             1
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "equality":0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 7 fork 6 starts with strategy
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.41  
% 0.21/0.41  **** run 6 fork 5 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.42  
% 0.21/0.42  **** run 8 fork 7 starts with strategy
% 0.21/0.42  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.45  
% 0.21/0.45  fork 1: search finished without proof.
% 0.21/0.48  
% 0.21/0.48  **** run 10 fork 1 starts with strategy
% 0.21/0.48  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 6: search terminated without proof.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 3: search terminated without proof.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 4: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 5: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 0: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 7: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  **** run 12 fork 3 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 2: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  **** run 13 fork 4 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.55  
% 0.21/0.55  **** run 15 fork 6 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.21/0.57  
% 0.21/0.57  **** run 9 fork 0 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 16 fork 7 starts with strategy
% 0.21/0.57  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.57  
% 0.21/0.57  **** run 14 fork 5 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 11 fork 2 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.67  
% 0.21/0.67  
% 0.21/0.67  fork 4: search terminated without proof.
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  fork 7: search terminated without proof.
% 0.21/0.69  
% 0.21/0.69  
% 0.21/0.69  fork 5: search terminated without proof.
% 0.21/0.69  
% 0.21/0.69  **** run 21 fork 4 starts with strategy
% 0.21/0.69  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.70  
% 0.21/0.70  
% 0.21/0.70  result: proof found
% 0.21/0.70  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.70  by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.70  
% 0.21/0.70  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.21/0.71  
% 0.21/0.71  run 9 fork 0 statistics:
% 0.21/0.71  ----------------------------------
% 0.21/0.71  this run seconds: 0.053208
% 0.21/0.71  total seconds: 0.218741
% 0.21/0.71  stat_given_used: 343
% 0.21/0.71  stat_given_used_at_endgame: 0
% 0.21/0.71  stat_given_candidates:   394
% 0.21/0.71  stat_given_candidates_at_endgame: 0
% 0.21/0.71  stat_given_candidates_h: 0
% 0.21/0.71  stat_binres_derived_cl:   4053
% 0.21/0.71  stat_binres_derived_cl_h: 0
% 0.21/0.71  stat_factor_derived_cl: 33
% 0.21/0.71  stat_para_derived_cl: 0
% 0.21/0.71  stat_tautologies_discarded: 32
% 0.21/0.71  stat_forward_subsumed: 127
% 0.21/0.71  stat_derived_cut: 3
% 0.21/0.71  stat_derived_rewritten: 0
% 0.21/0.71  stat_weight_discarded_building: 0
% 0.21/0.71  stat_weight_discarded_cl: 87
% 0.21/0.71  stat_internlimit_discarded_cl: 0
% 0.21/0.71  stat_simplified:  0 simplified 0 derived 0 given
% 0.21/0.71  stat_kept_cl: 3839
% 0.21/0.71  stat_built_cl: 4612
% 0.21/0.71  stat_hyperres_partial_cl: 0
% 0.21/0.71  stat_made_rewriters: 0
% 0.21/0.71  stat_backward_subsumed: 0
% 0.21/0.71  stat_propagated_subsumed: 0
% 0.21/0.71  stat_clsubs_attempted:                       322
% 0.21/0.71  stat_clsubs_fact_groundunit_found:             7
% 0.21/0.71  stat_clsubs_rule_groundunit_found:            19
% 0.21/0.71  stat_clsubs_top_meta_attempted:               9230
% 0.21/0.71  stat_clsubs_top_meta_failed:                  8908
% 0.21/0.71  stat_clsubs_top_meta_nonpref_attempted:                9230
% 0.21/0.71  stat_clsubs_top_meta_nonpref_succeeded:                1458
% 0.21/0.71  stat_clsubs_top_meta_pref_attempted:                   1458
% 0.21/0.71  stat_clsubs_top_meta_pref1_succeeded:                   873
% 0.21/0.71  stat_clsubs_top_meta_pref2_succeeded:                   482
% 0.21/0.71  stat_clsubs_top_meta_pref3_succeeded:                   322
% 0.21/0.71  stat_clsubs_top_meta_pref_succeeded:                    322
% 0.21/0.71  stat_clsubs_meta_attempted:                  699
% 0.21/0.71  stat_clsubs_meta_failed:                      60
% 0.21/0.71  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.71  stat_clsubs_unit_attempted:                    0
% 0.21/0.71  stat_clsubs_full_attempted:                  322
% 0.21/0.71  stat_forwardsubs_attempted:                 4054
% 0.21/0.71  stat_lit_hash_added:                   4882
% 0.21/0.71  stat_lit_hash_computed:               15446
% 0.21/0.71  stat_lit_hash_match_found:              158
% 0.21/0.71  stat_lit_hash_match_miss:             16494
% 0.21/0.71  stat_lit_hash_cut_ok:                     5
% 0.21/0.71  stat_lit_strong_cut_ok:                   0
% 0.21/0.71  stat_lit_hash_subsume_ok:               127
% 0.21/0.71  clqueue els 10000000 used 1
% 0.21/0.71  clactive els 10000000 used 344
% 0.21/0.71  clactivesubsume els 10000000 used 505
% 0.21/0.71  queue_termbuf els 200000000 used 214958
% 0.21/0.71  hyper_termbuf els 100000000 used 1
% 0.21/0.71  active_termbuf els 100000000 used 9679
% 0.21/0.71  varstack els 5000 last used 1
% 0.21/0.71  given_termbuf els 10000000 last used 1
% 0.21/0.71  simplified_termbuf els 10000000 last used 1
% 0.21/0.71  derived_termbuf els 10000000 last used 29
% 0.21/0.71  wr_mallocs: 12194
% 0.21/0.71  wr_callocs: 21
% 0.21/0.71  wr_reallocs: 524
% 0.21/0.71  wr_frees: 2
% 0.21/0.71  wr_malloc_bytes: 4163032068
% 0.21/0.71  wr_calloc_bytes: 112065536
% 0.21/0.71  wr_realloc_bytes: 144656
% 0.21/0.71  wr_realloc_freebytes: 0
% 0.21/0.71  ----------------------------------
% 0.21/0.71  
% 0.21/0.71  **** run 24 fork 7 starts with strategy
% 0.21/0.71  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.21/0.71  
% 0.21/0.71  **** run 22 fork 5 starts with strategy
% 0.21/0.71  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
%------------------------------------------------------------------------------