TSTP Solution File: RNG041-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.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 13:53:53 EDT 2023

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_associativity_of_multiplication2')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity_of_multiplication2']) ).

cnf('2',plain,
    product(a,b,additive_identity),
    inference(cnf_transformation,[],[a_times_b]) ).

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

cnf('4',plain,
    ( product(h(X),X,multiplicative_identity)
    | X = additive_identity ),
    inference(cnf_transformation,[],[clause42]) ).

cnf('5',plain,
    a != additive_identity,
    inference(cnf_transformation,[],[a_not_additive_identity]) ).

cnf('6',plain,
    ( ~ product(h(a),additive_identity,X)
    | product(multiplicative_identity,b,X) ),
    inference(resolution,[then_simplify],['3','4','5']) ).

cnf('7',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity_of_multiplication1']) ).

cnf('8',plain,
    ( ~ product(X,Y,a)
    | ~ product(Y,b,Z)
    | product(X,Z,additive_identity) ),
    inference(resolution,[],['7','2']) ).

cnf('9',plain,
    product(multiplicative_identity,X,X),
    inference(cnf_transformation,[],[left_multiplicative_identity]) ).

cnf('10',plain,
    ( ~ product(a,b,X)
    | product(multiplicative_identity,X,additive_identity) ),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    product(multiplicative_identity,additive_identity,additive_identity),
    inference(resolution,[],['10','2']) ).

cnf('12',plain,
    ( ~ product(X,multiplicative_identity,Y)
    | ~ product(X,additive_identity,Z)
    | product(Y,additive_identity,Z) ),
    inference(resolution,[],['1','11']) ).

cnf('13',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_closure_of_multiplication']) ).

cnf('14',plain,
    ( product(multiply(X,multiplicative_identity),additive_identity,Y)
    | ~ product(X,additive_identity,Y) ),
    inference(resolution,[],['12','13']) ).

cnf('15',plain,
    product(X,additive_identity,additive_identity),
    inference(cnf_transformation,[],[multiplicative_identity2]) ).

cnf('16',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,additive_identity,U)
    | product(X,U,additive_identity) ),
    inference(resolution,[],['7','15']) ).

cnf('17',plain,
    ( ~ product(X,multiply(Y,multiplicative_identity),Z)
    | ~ product(Y,additive_identity,U)
    | product(X,U,additive_identity) ),
    inference(resolution,[],['14','16']) ).

cnf('18',plain,
    ( ~ product(X,additive_identity,Y)
    | product(Z,Y,additive_identity) ),
    inference(resolution,[],['17','13']) ).

cnf('19',plain,
    product(X,additive_identity,additive_identity),
    inference(resolution,[],['18','15']) ).

cnf('20',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_multiplication_is_well_defined']) ).

cnf('21',plain,
    b != additive_identity,
    inference(cnf_transformation,[],[prove_b_is_additive_identity]) ).

cnf('22',plain,
    ( ~ product(X,Y,b)
    | ~ product(X,Y,additive_identity) ),
    inference(resolution,[],['20','21']) ).

cnf('23',plain,
    ~ product(multiplicative_identity,b,additive_identity),
    inference(resolution,[],['22','9']) ).

cnf('24',plain,
    $false,
    inference(resolution,[then_simplify],['6','19','23']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 01:44:19 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.44  
% 0.20/0.44  input clause set summed statistics:
% 0.20/0.44  ----------------------------------
% 0.20/0.44  in_clause_count:                    26
% 0.20/0.44  in_rule_clause_count:               19
% 0.20/0.44  in_fact_clause_count:                7
% 0.20/0.44  in_answer_clause_count:              0
% 0.20/0.44  in_ground_clause_count:              3
% 0.20/0.44  in_unit_clause_count:               13
% 0.20/0.44  in_horn_clause_count:               24
% 0.20/0.44  in_pos_clause_count:                13
% 0.20/0.44  in_neg_clause_count:                 2
% 0.20/0.44  in_poseq_clause_count:               4
% 0.20/0.44  in_negeq_clause_count:               2
% 0.20/0.44  in_unitposeq_clause_count:           0
% 0.20/0.44  in_chain_clause_count:               0
% 0.20/0.44  in_min_length:             1
% 0.20/0.44  in_max_length:             5
% 0.20/0.44  in_min_depth:              1
% 0.20/0.44  in_max_depth:              2
% 0.20/0.44  in_min_size:               3
% 0.20/0.44  in_max_size:              20
% 0.20/0.44  in_min_vars:               0
% 0.20/0.44  in_max_vars:               7
% 0.20/0.44  in_extaxiom_count:                17
% 0.20/0.44  in_axiom_count:                    0
% 0.20/0.44  in_assumption_count:               6
% 0.20/0.44  in_goal_count:                     3
% 0.20/0.44  in_neg_goal_count:                 2
% 0.20/0.44  in_pos_goal_count:                 1
% 0.20/0.44  in_posunit_goal_count:             1
% 0.20/0.44  
% 0.20/0.44  auto guide:
% 0.20/0.44  -----------
% 0.20/0.44  {
% 0.20/0.44  "print":1,
% 0.20/0.44  "print_level": 15,
% 0.20/0.44  "max_size": 0,
% 0.20/0.44  "max_depth": 0,
% 0.20/0.44  "max_length": 0,
% 0.20/0.44  "max_dseconds": 0,
% 0.20/0.44  "runs":[
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.44  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.44  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.44  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.20/0.44  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  
% 0.20/0.44  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.44  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.44  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.44  
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.44  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44  
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.20/0.44  
% 0.20/0.44  ]}
% 0.20/0.44  
% 0.20/0.45  
% 0.20/0.45  **** run 1 fork 0 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.45  
% 0.20/0.45  **** run 2 fork 1 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.45  
% 0.20/0.45  **** run 3 fork 2 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.45  
% 0.20/0.45  **** run 4 fork 3 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.45  
% 0.20/0.45  **** run 5 fork 4 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.45  
% 0.20/0.45  **** run 6 fork 5 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.46  
% 0.20/0.46  **** run 7 fork 6 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 8 fork 7 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.50  
% 0.20/0.50  fork 3: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  **** run 12 fork 3 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  result: proof found
% 0.20/0.54  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.54  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.54  
% 0.20/0.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.54  
% 0.20/0.54  run 12 fork 3 statistics:
% 0.20/0.54  ----------------------------------
% 0.20/0.54  this run seconds: 0.011079
% 0.20/0.54  total seconds: 0.085673
% 0.20/0.54  stat_given_used: 165
% 0.20/0.54  stat_given_used_at_endgame: 0
% 0.20/0.54  stat_given_candidates:   299
% 0.20/0.54  stat_given_candidates_at_endgame: 0
% 0.20/0.54  stat_given_candidates_h: 0
% 0.20/0.54  stat_binres_derived_cl:   658
% 0.20/0.54  stat_binres_derived_cl_h: 0
% 0.20/0.54  stat_factor_derived_cl: 27
% 0.20/0.54  stat_para_derived_cl: 230
% 0.20/0.54  stat_tautologies_discarded: 26
% 0.20/0.54  stat_forward_subsumed: 153
% 0.20/0.54  stat_derived_cut: 15
% 0.20/0.54  stat_derived_rewritten: 0
% 0.20/0.54  stat_weight_discarded_building: 0
% 0.20/0.54  stat_weight_discarded_cl: 0
% 0.20/0.54  stat_internlimit_discarded_cl: 0
% 0.20/0.54  stat_simplified:  0 simplified 0 derived 0 given
% 0.20/0.54  stat_kept_cl: 728
% 0.20/0.54  stat_built_cl: 1058
% 0.20/0.54  stat_hyperres_partial_cl: 0
% 0.20/0.54  stat_made_rewriters: 0
% 0.20/0.54  stat_backward_subsumed: 0
% 0.20/0.54  stat_propagated_subsumed: 0
% 0.20/0.54  stat_clsubs_attempted:                       847
% 0.20/0.54  stat_clsubs_fact_groundunit_found:             2
% 0.20/0.54  stat_clsubs_rule_groundunit_found:            30
% 0.20/0.54  stat_clsubs_top_meta_attempted:              10398
% 0.20/0.54  stat_clsubs_top_meta_failed:                  9551
% 0.20/0.54  stat_clsubs_top_meta_nonpref_attempted:               10398
% 0.20/0.54  stat_clsubs_top_meta_nonpref_succeeded:                2585
% 0.20/0.54  stat_clsubs_top_meta_pref_attempted:                   2585
% 0.20/0.54  stat_clsubs_top_meta_pref1_succeeded:                  1006
% 0.20/0.54  stat_clsubs_top_meta_pref2_succeeded:                   871
% 0.20/0.54  stat_clsubs_top_meta_pref3_succeeded:                   847
% 0.20/0.54  stat_clsubs_top_meta_pref_succeeded:                    847
% 0.20/0.54  stat_clsubs_meta_attempted:                 1538
% 0.20/0.54  stat_clsubs_meta_failed:                     299
% 0.20/0.54  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.54  stat_clsubs_unit_attempted:                  403
% 0.20/0.54  stat_clsubs_full_attempted:                  444
% 0.20/0.54  stat_forwardsubs_attempted:                  882
% 0.20/0.54  stat_lit_hash_added:                    507
% 0.20/0.54  stat_lit_hash_computed:                4894
% 0.20/0.54  stat_lit_hash_match_found:              194
% 0.20/0.54  stat_lit_hash_match_miss:              6712
% 0.20/0.54  stat_lit_hash_cut_ok:                     4
% 0.20/0.54  stat_lit_strong_cut_ok:                  11
% 0.20/0.54  stat_lit_hash_subsume_ok:               153
% 0.20/0.54  clqueue els 10000000 used 1
% 0.20/0.54  clactive els 10000000 used 166
% 0.20/0.54  clactivesubsume els 10000000 used 595
% 0.20/0.54  queue_termbuf els 200000000 used 39916
% 0.20/0.54  hyper_termbuf els 100000000 used 1
% 0.20/0.54  active_termbuf els 100000000 used 4029
% 0.20/0.54  varstack els 5000 last used 1
% 0.20/0.54  given_termbuf els 10000000 last used 1
% 0.20/0.54  simplified_termbuf els 10000000 last used 1
% 0.20/0.54  derived_termbuf els 10000000 last used 23
% 0.20/0.54  wr_mallocs: 1793
% 0.20/0.54  wr_callocs: 21
% 0.20/0.54  wr_reallocs: 125
% 0.20/0.54  wr_frees: 2
% 0.20/0.54  wr_malloc_bytes: 4162645044
% 0.20/0.54  wr_calloc_bytes: 112065536
% 0.20/0.54  wr_realloc_bytes: 18640
% 0.20/0.54  wr_realloc_freebytes: 0
% 0.20/0.54  ----------------------------------
%------------------------------------------------------------------------------