TSTP Solution File: GRP127-4.004 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP127-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:52:40 EDT 2023

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named row_surjectivity)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( product(e_4,X,Y)
    | product(e_3,X,Y)
    | product(e_2,X,Y)
    | product(e_1,X,Y)
    | ~ group_element(Y)
    | ~ group_element(X) ),
    inference(cnf_transformation,[],[row_surjectivity]) ).

cnf('2',plain,
    group_element(e_1),
    inference(cnf_transformation,[],[element_1]) ).

cnf('3',plain,
    ( product(e_4,X,e_1)
    | product(e_3,X,e_1)
    | product(e_2,X,e_1)
    | product(e_1,X,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    group_element(e_4),
    inference(cnf_transformation,[],[element_4]) ).

cnf('5',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[product_total_function2]) ).

cnf('7',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,X)
    | product(Y,Z,U) ),
    inference(cnf_transformation,[],[qg3_1]) ).

cnf('8',plain,
    ( ~ product(X,Y,X)
    | product(Y,X,X) ),
    inference(factorization,[],['7']) ).

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

cnf('10',plain,
    product(X,X,X),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    ( ~ product(X,X,Y)
    | equalish(Y,X) ),
    inference(resolution,[],['6','10']) ).

cnf('12',plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[],[e_1_is_not_e_4]) ).

cnf('13',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolution,[then_simplify],['5','11','12']) ).

cnf('14',plain,
    group_element(e_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('15',plain,
    ( product(e_4,X,e_2)
    | product(e_3,X,e_2)
    | product(e_2,X,e_2)
    | product(e_1,X,e_2)
    | ~ group_element(X) ),
    inference(resolution,[],['1','14']) ).

cnf('16',plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2) ),
    inference(resolution,[],['15','4']) ).

cnf('17',plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[],[e_2_is_not_e_4]) ).

cnf('18',plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_2) ),
    inference(resolution,[then_simplify],['16','11','17']) ).

cnf('19',plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | ~ product(e_3,e_4,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['18','6']) ).

cnf('20',plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[e_1_is_not_e_2]) ).

cnf('21',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['13','19','20']) ).

cnf('22',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('23',plain,
    ( ~ product(X,Y,X)
    | equalish(Y,X) ),
    inference(resolution,[],['22','10']) ).

cnf('24',plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[e_4_is_not_e_2]) ).

cnf('25',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['21','23','24']) ).

cnf('26',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,Z,U)
    | product(U,Y,X) ),
    inference(cnf_transformation,[],[qg3_2]) ).

cnf('27',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | ~ product(e_4,e_1,X)
    | product(X,e_4,e_2) ),
    inference(resolution,[],['25','26']) ).

cnf('28',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2) ),
    inference(resolution,[],['15','2']) ).

cnf('29',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[],['27','28']) ).

cnf('30',plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | ~ product(e_3,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['18','22']) ).

cnf('31',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['29','30','12']) ).

cnf('32',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['31','23','24']) ).

cnf('33',plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['32','23','20']) ).

cnf('34',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | ~ product(e_3,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['13','22']) ).

cnf('35',plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[],['3','14']) ).

cnf('36',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | ~ product(e_4,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['28','22']) ).

cnf('37',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('38',plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_2) ),
    inference(resolution,[],['15','37']) ).

cnf('39',plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[e_3_is_not_e_1]) ).

cnf('40',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[then_simplify],['36','38','39']) ).

cnf('41',plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[e_2_is_not_e_3]) ).

cnf('42',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2) ),
    inference(resolution,[then_simplify],['40','11','41']) ).

cnf('43',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['42','30','12']) ).

cnf('44',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['43','23','24']) ).

cnf('45',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('46',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['44','23','45']) ).

cnf('47',plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['46','23','20']) ).

cnf('48',plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | ~ product(e_4,e_2,X)
    | product(X,e_4,e_1) ),
    inference(resolution,[],['47','26']) ).

cnf('49',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[],['35','48']) ).

cnf('50',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[then_simplify],['34','49','17']) ).

cnf('51',plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_2,X)
    | ~ product(X,e_4,e_1) ),
    inference(resolution,[],['47','7']) ).

cnf('52',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_2,e_2) ),
    inference(resolution,[],['50','51']) ).

cnf('53',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(U,X) ),
    inference(cnf_transformation,[],[product_left_cancellation]) ).

cnf('54',plain,
    ( ~ product(X,Y,Y)
    | equalish(X,Y) ),
    inference(resolution,[],['53','10']) ).

cnf('55',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['52','54','24']) ).

cnf('56',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['55','11','20']) ).

cnf('57',plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[],[e_4_is_not_e_1]) ).

cnf('58',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['56','23','57']) ).

cnf('59',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['58','22']) ).

cnf('60',plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[e_4_is_not_e_3]) ).

cnf('61',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolution,[then_simplify],['33','59','60']) ).

cnf('62',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[then_simplify],['61','23','57']) ).

cnf('63',plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[e_2_is_not_e_1]) ).

cnf('64',plain,
    product(e_1,e_1,e_2),
    inference(resolution,[then_simplify],['62','23','63']) ).

cnf('65',plain,
    $false,
    inference(resolution,[then_simplify],['64','11','63']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP127-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 02:29:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    26
% 0.19/0.38  in_rule_clause_count:               21
% 0.19/0.38  in_fact_clause_count:                5
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:             16
% 0.19/0.38  in_unit_clause_count:               17
% 0.19/0.38  in_horn_clause_count:               23
% 0.19/0.38  in_pos_clause_count:                 5
% 0.19/0.38  in_neg_clause_count:                12
% 0.19/0.38  in_poseq_clause_count:               0
% 0.19/0.38  in_negeq_clause_count:               0
% 0.19/0.38  in_unitposeq_clause_count:           0
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             6
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              1
% 0.19/0.38  in_min_size:               2
% 0.19/0.38  in_max_size:              20
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               4
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                   23
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     3
% 0.19/0.38  in_neg_goal_count:                 0
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "equality":0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.42  
% 0.19/0.42  fork 1: search finished without proof.
% 0.19/0.44  
% 0.19/0.44  fork 5: search finished without proof.
% 0.19/0.44  
% 0.19/0.44  fork 7: search finished without proof.
% 0.19/0.45  
% 0.19/0.45  **** run 10 fork 1 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.46  
% 0.19/0.46  **** run 14 fork 5 starts with strategy
% 0.19/0.46  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.48  
% 0.19/0.48  **** run 16 fork 7 starts with strategy
% 0.19/0.48  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  result: proof found
% 0.19/0.50  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.50  
% 0.19/0.50  run 7 fork 6 statistics:
% 0.19/0.50  ----------------------------------
% 0.19/0.50  this run seconds: 0.020288
% 0.19/0.50  total seconds: 0.042760
% 0.19/0.50  stat_given_used: 158
% 0.19/0.50  stat_given_used_at_endgame: 0
% 0.19/0.50  stat_given_candidates:   414
% 0.19/0.50  stat_given_candidates_at_endgame: 0
% 0.19/0.50  stat_given_candidates_h: 0
% 0.19/0.50  stat_binres_derived_cl:   663
% 0.19/0.50  stat_binres_derived_cl_h: 0
% 0.19/0.50  stat_factor_derived_cl: 18
% 0.19/0.50  stat_para_derived_cl: 0
% 0.19/0.50  stat_tautologies_discarded: 2
% 0.19/0.50  stat_forward_subsumed: 30
% 0.19/0.50  stat_derived_cut: 162
% 0.19/0.50  stat_derived_rewritten: 0
% 0.19/0.50  stat_weight_discarded_building: 0
% 0.19/0.50  stat_weight_discarded_cl: 0
% 0.19/0.50  stat_internlimit_discarded_cl: 0
% 0.19/0.50  stat_simplified:  0 simplified 0 derived 0 given
% 0.19/0.50  stat_kept_cl: 648
% 0.19/0.50  stat_built_cl: 964
% 0.19/0.50  stat_hyperres_partial_cl: 0
% 0.19/0.50  stat_made_rewriters: 0
% 0.19/0.50  stat_backward_subsumed: 0
% 0.19/0.50  stat_propagated_subsumed: 0
% 0.19/0.50  stat_clsubs_attempted:                      1975
% 0.19/0.50  stat_clsubs_fact_groundunit_found:             4
% 0.19/0.50  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.50  stat_clsubs_top_meta_attempted:              19425
% 0.19/0.50  stat_clsubs_top_meta_failed:                 17450
% 0.19/0.50  stat_clsubs_top_meta_nonpref_attempted:               19425
% 0.19/0.50  stat_clsubs_top_meta_nonpref_succeeded:                5533
% 0.19/0.50  stat_clsubs_top_meta_pref_attempted:                   5533
% 0.19/0.50  stat_clsubs_top_meta_pref1_succeeded:                  4329
% 0.19/0.50  stat_clsubs_top_meta_pref2_succeeded:                  2549
% 0.19/0.50  stat_clsubs_top_meta_pref3_succeeded:                  1975
% 0.19/0.50  stat_clsubs_top_meta_pref_succeeded:                   1975
% 0.19/0.50  stat_clsubs_meta_attempted:                 8644
% 0.19/0.50  stat_clsubs_meta_failed:                    2383
% 0.19/0.50  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.50  stat_clsubs_unit_attempted:                  511
% 0.19/0.50  stat_clsubs_full_attempted:                 1464
% 0.19/0.50  stat_forwardsubs_attempted:                  679
% 0.19/0.50  stat_lit_hash_added:                     74
% 0.19/0.50  stat_lit_hash_computed:               12402
% 0.19/0.50  stat_lit_hash_match_found:              196
% 0.19/0.50  stat_lit_hash_match_miss:             17549
% 0.19/0.50  stat_lit_hash_cut_ok:                   162
% 0.19/0.50  stat_lit_strong_cut_ok:                   0
% 0.19/0.50  stat_lit_hash_subsume_ok:                30
% 0.19/0.50  clqueue els 10000000 used 1
% 0.19/0.50  clactive els 10000000 used 159
% 0.19/0.50  clactivesubsume els 10000000 used 841
% 0.19/0.50  queue_termbuf els 200000000 used 43817
% 0.19/0.50  hyper_termbuf els 100000000 used 1
% 0.19/0.50  active_termbuf els 100000000 used 7069
% 0.19/0.50  varstack els 5000 last used 1
% 0.19/0.50  given_termbuf els 10000000 last used 1
% 0.19/0.50  simplified_termbuf els 10000000 last used 1
% 0.19/0.50  derived_termbuf els 10000000 last used 22
% 0.19/0.50  wr_mallocs: 630
% 0.19/0.50  wr_callocs: 21
% 0.19/0.50  wr_reallocs: 71
% 0.19/0.50  wr_frees: 2
% 0.19/0.50  wr_malloc_bytes: 4162599412
% 0.19/0.50  wr_calloc_bytes: 112065536
% 0.19/0.50  wr_realloc_bytes: 46016
% 0.19/0.50  wr_realloc_freebytes: 0
% 0.19/0.50  ----------------------------------
%------------------------------------------------------------------------------