TSTP Solution File: SET013-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n010.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 14:59:10 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named intersection_of_a_and_b_is_c)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    equal_sets(intersection(as,bs),cs),
    inference(cnf_transformation,[],[intersection_of_a_and_b_is_c]) ).

cnf('2',plain,
    ( ~ equal_sets(X,Y)
    | subset(X,Y) ),
    inference(cnf_transformation,[],['$inc_set_equal_sets_are_subsets1']) ).

cnf('3',plain,
    subset(intersection(as,bs),cs),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( ~ subset(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    inference(cnf_transformation,[],['$inc_membership_in_subsets']) ).

cnf('5',plain,
    ( ~ member(X,intersection(as,bs))
    | member(X,cs) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( member(X,intersection(Y,Z))
    | ~ member(X,Z)
    | ~ member(X,Y) ),
    inference(cnf_transformation,[],['$inc_member_of_both_is_member_of_intersection']) ).

cnf('7',plain,
    ( ~ member(X,bs)
    | ~ member(X,as)
    | member(X,cs) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    equal_sets(intersection(bs,as),ds),
    inference(cnf_transformation,[],[intersection_of_b_and_a_is_d]) ).

cnf('9',plain,
    ( ~ equal_sets(X,Y)
    | subset(Y,X) ),
    inference(cnf_transformation,[],['$inc_set_equal_sets_are_subsets2']) ).

cnf('10',plain,
    subset(ds,intersection(bs,as)),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    ( member(X,intersection(bs,as))
    | ~ member(X,ds) ),
    inference(resolution,[],['10','4']) ).

cnf('12',plain,
    ( ~ member(X,intersection(Y,Z))
    | member(X,Y) ),
    inference(cnf_transformation,[],['$inc_member_of_intersection_is_member_of_set1']) ).

cnf('13',plain,
    ( ~ member(X,ds)
    | member(X,bs) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( ~ member(X3,as)
    | member(X3,cs)
    | ~ member(X3,ds) ),
    inference(resolution,[],['7','13']) ).

cnf('15',plain,
    ( ~ member(X,intersection(Y,Z))
    | member(X,Z) ),
    inference(cnf_transformation,[],['$inc_member_of_intersection_is_member_of_set2']) ).

cnf('16',plain,
    ( ~ member(X3,ds)
    | member(X3,as) ),
    inference(resolution,[],['11','15']) ).

cnf('17',plain,
    ( ~ member(X,ds)
    | member(X,cs) ),
    inference(simplify,[],['14','16']) ).

cnf('18',plain,
    ~ equal_sets(cs,ds),
    inference(cnf_transformation,[],[prove_c_equals_d]) ).

cnf('19',plain,
    ( ~ subset(X,Y)
    | ~ subset(Y,X)
    | equal_sets(Y,X) ),
    inference(cnf_transformation,[],['$inc_subsets_are_set_equal_sets']) ).

cnf('20',plain,
    ( ~ subset(ds,cs)
    | ~ subset(cs,ds) ),
    inference(resolution,[],['18','19']) ).

cnf('21',plain,
    ( member(member_of_1_not_of_2(X,Y),X)
    | subset(X,Y) ),
    inference(cnf_transformation,[],['$inc_subsets_axiom1']) ).

cnf('22',plain,
    ( ~ subset(cs,ds)
    | member(member_of_1_not_of_2(ds,cs),ds) ),
    inference(resolution,[],['20','21']) ).

cnf('23',plain,
    ( ~ subset(cs,ds)
    | member(member_of_1_not_of_2(ds,cs),X)
    | ~ subset(ds,X) ),
    inference(resolution,[],['22','4']) ).

cnf('24',plain,
    ( ~ equal_sets(X,Y)
    | ~ equal_sets(Y,Z)
    | equal_sets(X,Z) ),
    inference(cnf_transformation,[],['$inc_transitivity_for_set_equal']) ).

cnf('25',plain,
    ( ~ equal_sets(X,intersection(bs,as))
    | equal_sets(X,ds) ),
    inference(resolution,[],['8','24']) ).

cnf('26',plain,
    ( ~ equal_sets(X,Y)
    | equal_sets(Y,X) ),
    inference(cnf_transformation,[],['$inc_symmetry_for_set_equal']) ).

cnf('27',plain,
    equal_sets(ds,intersection(bs,as)),
    inference(resolution,[],['8','26']) ).

cnf('28',plain,
    equal_sets(ds,ds),
    inference(resolution,[],['25','27']) ).

cnf('29',plain,
    subset(ds,ds),
    inference(resolution,[],['28','2']) ).

cnf('30',plain,
    ( ~ subset(cs,ds)
    | member(member_of_1_not_of_2(ds,cs),cs) ),
    inference(resolution,[then_simplify],['17','23','29']) ).

cnf('31',plain,
    ( ~ member(member_of_1_not_of_2(X,Y),Y)
    | subset(X,Y) ),
    inference(cnf_transformation,[],['$inc_subsets_axiom2']) ).

cnf('32',plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),cs)
    | ~ subset(cs,ds) ),
    inference(resolution,[],['20','31']) ).

cnf('33',plain,
    ~ subset(cs,ds),
    inference(simplify,[],['30','32']) ).

cnf('34',plain,
    ~ member(member_of_1_not_of_2(cs,ds),ds),
    inference(resolution,[],['33','31']) ).

cnf('35',plain,
    subset(intersection(bs,as),ds),
    inference(resolution,[],['8','2']) ).

cnf('36',plain,
    ( ~ member(X,intersection(bs,as))
    | member(X,ds) ),
    inference(resolution,[],['35','4']) ).

cnf('37',plain,
    ~ member(member_of_1_not_of_2(cs,ds),intersection(bs,as)),
    inference(resolution,[],['34','36']) ).

cnf('38',plain,
    subset(cs,intersection(as,bs)),
    inference(resolution,[],['1','9']) ).

cnf('39',plain,
    ( member(X,intersection(as,bs))
    | ~ member(X,cs) ),
    inference(resolution,[],['38','4']) ).

cnf('40',plain,
    ( ~ member(X,cs)
    | member(X,as) ),
    inference(resolution,[],['39','12']) ).

cnf('41',plain,
    ( member(member_of_1_not_of_2(cs,X),as)
    | subset(cs,X) ),
    inference(resolution,[],['40','21']) ).

cnf('42',plain,
    member(member_of_1_not_of_2(cs,ds),as),
    inference(resolution,[],['33','41']) ).

cnf('43',plain,
    ( ~ member(X,cs)
    | member(X,bs) ),
    inference(resolution,[],['39','15']) ).

cnf('44',plain,
    ( member(member_of_1_not_of_2(cs,X),bs)
    | subset(cs,X) ),
    inference(resolution,[],['43','21']) ).

cnf('45',plain,
    member(member_of_1_not_of_2(cs,ds),bs),
    inference(resolution,[],['33','44']) ).

cnf('46',plain,
    $false,
    inference(resolution,[then_simplify],['37','6','42','45']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 11:11:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                    24
% 0.20/0.39  in_rule_clause_count:               22
% 0.20/0.39  in_fact_clause_count:                2
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              3
% 0.20/0.39  in_unit_clause_count:                6
% 0.20/0.39  in_horn_clause_count:               21
% 0.20/0.39  in_pos_clause_count:                 6
% 0.20/0.39  in_neg_clause_count:                 3
% 0.20/0.39  in_poseq_clause_count:               0
% 0.20/0.39  in_negeq_clause_count:               0
% 0.20/0.39  in_unitposeq_clause_count:           0
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             3
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              2
% 0.20/0.39  in_min_size:               3
% 0.20/0.39  in_max_size:              11
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               3
% 0.20/0.39  in_extaxiom_count:                21
% 0.20/0.39  in_axiom_count:                    0
% 0.20/0.39  in_assumption_count:               2
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "equality":0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.44  
% 0.20/0.44  fork 1: search finished without proof.
% 0.20/0.47  
% 0.20/0.47  **** run 10 fork 1 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  fork 3: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 0: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 2: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 4: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 5: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 6: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 7: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 14 fork 5 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 12 fork 3 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 11 fork 2 starts with strategy
% 0.20/0.55  
% 0.20/0.55  **** run 9 fork 0 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.55  
% 0.20/0.55  **** run 13 fork 4 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.56  
% 0.20/0.56  **** run 16 fork 7 starts with strategy
% 0.20/0.56  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.59  
% 0.20/0.59  fork 1: search finished without proof.
% 0.20/0.61  
% 0.20/0.61  **** run 18 fork 1 starts with strategy
% 0.20/0.61  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.64  
% 0.20/0.64  
% 0.20/0.64  result: proof found
% 0.20/0.64  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.64  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.64  
% 0.20/0.64  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.64  
% 0.20/0.64  run 12 fork 3 statistics:
% 0.20/0.64  ----------------------------------
% 0.20/0.64  this run seconds: 0.057558
% 0.20/0.64  total seconds: 0.238808
% 0.20/0.64  stat_given_used: 927
% 0.20/0.64  stat_given_used_at_endgame: 0
% 0.20/0.64  stat_given_candidates:   2595
% 0.20/0.64  stat_given_candidates_at_endgame: 0
% 0.20/0.64  stat_given_candidates_h: 0
% 0.20/0.64  stat_binres_derived_cl:   7908
% 0.20/0.64  stat_binres_derived_cl_h: 0
% 0.20/0.64  stat_factor_derived_cl: 80
% 0.20/0.64  stat_para_derived_cl: 0
% 0.20/0.64  stat_tautologies_discarded: 120
% 0.20/0.64  stat_forward_subsumed: 1198
% 0.20/0.64  stat_derived_cut: 578
% 0.20/0.64  stat_derived_rewritten: 0
% 0.20/0.64  stat_weight_discarded_building: 0
% 0.20/0.64  stat_weight_discarded_cl: 438
% 0.20/0.64  stat_internlimit_discarded_cl: 0
% 0.20/0.64  stat_simplified:  54 simplified 0 derived 0 given
% 0.20/0.64  stat_kept_cl: 6231
% 0.20/0.64  stat_built_cl: 8619
% 0.20/0.64  stat_hyperres_partial_cl: 0
% 0.20/0.64  stat_made_rewriters: 0
% 0.20/0.64  stat_backward_subsumed: 0
% 0.20/0.64  stat_propagated_subsumed: 0
% 0.20/0.64  stat_clsubs_attempted:                     18023
% 0.20/0.64  stat_clsubs_fact_groundunit_found:             4
% 0.20/0.64  stat_clsubs_rule_groundunit_found:            37
% 0.20/0.64  stat_clsubs_top_meta_attempted:             770510
% 0.20/0.64  stat_clsubs_top_meta_failed:                752487
% 0.20/0.64  stat_clsubs_top_meta_nonpref_attempted:              770510
% 0.20/0.64  stat_clsubs_top_meta_nonpref_succeeded:              206627
% 0.20/0.64  stat_clsubs_top_meta_pref_attempted:                 206627
% 0.20/0.64  stat_clsubs_top_meta_pref1_succeeded:                 81669
% 0.20/0.64  stat_clsubs_top_meta_pref2_succeeded:                 23845
% 0.20/0.64  stat_clsubs_top_meta_pref3_succeeded:                 18023
% 0.20/0.64  stat_clsubs_top_meta_pref_succeeded:                  18023
% 0.20/0.64  stat_clsubs_meta_attempted:                40758
% 0.20/0.64  stat_clsubs_meta_failed:                   10441
% 0.20/0.64  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.64  stat_clsubs_unit_attempted:                  331
% 0.20/0.64  stat_clsubs_full_attempted:                17692
% 0.20/0.64  stat_forwardsubs_attempted:                 7868
% 0.20/0.64  stat_lit_hash_added:                   6833
% 0.20/0.64  stat_lit_hash_computed:               55969
% 0.20/0.64  stat_lit_hash_match_found:             1988
% 0.20/0.64  stat_lit_hash_match_miss:             66703
% 0.20/0.64  stat_lit_hash_cut_ok:                   793
% 0.20/0.64  stat_lit_strong_cut_ok:                  22
% 0.20/0.64  stat_lit_hash_subsume_ok:              1198
% 0.20/0.64  clqueue els 10000000 used 1
% 0.20/0.64  clactive els 10000000 used 949
% 0.20/0.64  clactivesubsume els 10000000 used 5449
% 0.20/0.64  queue_termbuf els 200000000 used 337458
% 0.20/0.64  hyper_termbuf els 100000000 used 1
% 0.20/0.64  active_termbuf els 100000000 used 32966
% 0.20/0.64  varstack els 5000 last used 1
% 0.20/0.64  given_termbuf els 10000000 last used 1
% 0.20/0.64  simplified_termbuf els 10000000 last used 1
% 0.20/0.64  derived_termbuf els 10000000 last used 46
% 0.20/0.64  wr_mallocs: 7576
% 0.20/0.64  wr_callocs: 21
% 0.20/0.64  wr_reallocs: 1266
% 0.20/0.64  wr_frees: 2
% 0.20/0.64  wr_malloc_bytes: 4162852516
% 0.20/0.64  wr_calloc_bytes: 112065536
% 0.20/0.64  wr_realloc_bytes: 356736
% 0.20/0.64  wr_realloc_freebytes: 0
% 0.20/0.64  ----------------------------------
%------------------------------------------------------------------------------