TSTP Solution File: GRP077-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 00:52:15 EDT 2023

% Result   : Unsatisfiable 1.38s 0.62s
% Output   : CNFRefutation 1.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named multiply)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[],[multiply]) ).

cnf('2',plain,
    inverse(X) = double_divide(X,identity),
    inference(cnf_transformation,[],[inverse]) ).

cnf('3',plain,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    inference(simplify,[],['1','2']) ).

cnf('4',plain,
    identity = double_divide(X,inverse(X)),
    inference(cnf_transformation,[],[identity]) ).

cnf('5',plain,
    double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
    inference(cnf_transformation,[],[single_axiom]) ).

cnf('6',plain,
    double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) = Z,
    inference(simplify,[then_simplify],['5','2','2','3']) ).

cnf('7',plain,
    double_divide(X3,multiply(Y3,double_divide(identity,double_divide(inverse(X3),identity)))) = inverse(Y3),
    inference(paramodulation,[],['4','6']) ).

cnf('8',plain,
    double_divide(X,multiply(Y,double_divide(identity,inverse(inverse(X))))) = inverse(Y),
    inference(simplify,[],['7','2']) ).

cnf('9',plain,
    double_divide(X3,multiply(Y3,double_divide(identity,double_divide(inverse(X3),inverse(Z3))))) = multiply(Z3,double_divide(identity,inverse(inverse(Y3)))),
    inference(paramodulation,[],['8','6']) ).

cnf('10',plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(paramodulation,[],['2','3']) ).

cnf('11',plain,
    multiply(inverse(X),X) = inverse(identity),
    inference(paramodulation,[],['4','3']) ).

cnf('12',plain,
    double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(Y))))) = identity,
    inference(paramodulation,[],['2','6']) ).

cnf('13',plain,
    double_divide(X3,multiply(inverse(X3),double_divide(identity,identity))) = identity,
    inference(paramodulation,[],['4','12']) ).

cnf('14',plain,
    double_divide(X,multiply(inverse(X),inverse(identity))) = identity,
    inference(simplify,[],['13','2']) ).

cnf('15',plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(paramodulation,[],['11','14']) ).

cnf('16',plain,
    double_divide(identity,multiply(identity,double_divide(identity,identity))) = identity,
    inference(paramodulation,[],['15','12']) ).

cnf('17',plain,
    double_divide(identity,inverse(inverse(inverse(identity)))) = identity,
    inference(simplify,[then_simplify],['16','2','10']) ).

cnf('18',plain,
    double_divide(inverse(identity),multiply(X,identity)) = inverse(X),
    inference(paramodulation,[],['17','8']) ).

cnf('19',plain,
    double_divide(inverse(identity),inverse(inverse(identity))) = inverse(identity),
    inference(paramodulation,[],['10','18']) ).

cnf('20',plain,
    identity = inverse(identity),
    inference(simplify,[],['19','4']) ).

cnf('21',plain,
    double_divide(identity,multiply(X,identity)) = inverse(X),
    inference(paramodulation,[],['20','18']) ).

cnf('22',plain,
    multiply(multiply(X,identity),identity) = inverse(inverse(X)),
    inference(paramodulation,[],['21','3']) ).

cnf('23',plain,
    double_divide(identity,inverse(inverse(X))) = inverse(multiply(X,identity)),
    inference(paramodulation,[],['22','21']) ).

cnf('24',plain,
    double_divide(X,multiply(Y,inverse(multiply(X,identity)))) = inverse(Y),
    inference(paramodulation,[],['23','8']) ).

cnf('25',plain,
    double_divide(X3,inverse(identity)) = inverse(inverse(inverse(multiply(X3,identity)))),
    inference(paramodulation,[],['11','24']) ).

cnf('26',plain,
    inverse(X) = inverse(inverse(inverse(multiply(X,identity)))),
    inference(simplify,[then_simplify],['25','20','2']) ).

cnf('27',plain,
    double_divide(X,multiply(inverse(X),identity)) = identity,
    inference(paramodulation,[],['20','14']) ).

cnf('28',plain,
    multiply(multiply(inverse(X3),identity),X3) = inverse(identity),
    inference(paramodulation,[],['27','3']) ).

cnf('29',plain,
    multiply(multiply(inverse(X),identity),X) = identity,
    inference(simplify,[],['28','20']) ).

cnf('30',plain,
    multiply(multiply(multiply(X,Y),identity),double_divide(Y,X)) = identity,
    inference(paramodulation,[],['3','29']) ).

cnf('31',plain,
    multiply(inverse(inverse(X)),double_divide(identity,X)) = identity,
    inference(paramodulation,[],['22','30']) ).

cnf('32',plain,
    double_divide(X3,identity) = inverse(inverse(inverse(inverse(inverse(X3))))),
    inference(paramodulation,[],['31','8']) ).

cnf('33',plain,
    inverse(X) = inverse(inverse(inverse(inverse(inverse(X))))),
    inference(simplify,[],['32','2']) ).

cnf('34',plain,
    inverse(multiply(X,identity)) = inverse(inverse(inverse(X))),
    inference(paramodulation,[],['26','33']) ).

cnf('35',plain,
    inverse(multiply(multiply(X3,identity),identity)) = inverse(X3),
    inference(paramodulation,[],['26','34']) ).

cnf('36',plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(simplify,[],['35','22']) ).

cnf('37',plain,
    double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(Z))))) = multiply(Z,inverse(Y)),
    inference(simplify,[then_simplify],['9','23','34','36']) ).

cnf('38',plain,
    multiply(X,inverse(X)) = identity,
    inference(paramodulation,[],['37','12']) ).

cnf('39',plain,
    double_divide(X3,inverse(inverse(double_divide(identity,double_divide(inverse(X3),double_divide(identity,Y3)))))) = Y3,
    inference(paramodulation,[],['10','6']) ).

cnf('40',plain,
    double_divide(X,inverse(inverse(multiply(double_divide(identity,Y),inverse(X))))) = Y,
    inference(simplify,[then_simplify],['39','3','34','3']) ).

cnf('41',plain,
    double_divide(double_divide(identity,X3),inverse(inverse(identity))) = X3,
    inference(paramodulation,[],['38','40']) ).

cnf('42',plain,
    multiply(X,identity) = X,
    inference(simplify,[then_simplify],['41','20','20','2','3']) ).

cnf('43',plain,
    X3 = inverse(double_divide(identity,X3)),
    inference(paramodulation,[],['42','3']) ).

cnf('44',plain,
    double_divide(identity,X) = inverse(X),
    inference(paramodulation,[],['42','21']) ).

cnf('45',plain,
    X = inverse(inverse(X)),
    inference(simplify,[],['43','44']) ).

cnf('46',plain,
    double_divide(X,multiply(Y,inverse(X))) = inverse(Y),
    inference(paramodulation,[],['42','24']) ).

cnf('47',plain,
    double_divide(inverse(X),multiply(Y,X)) = inverse(Y),
    inference(paramodulation,[],['45','46']) ).

cnf('48',plain,
    double_divide(inverse(X3),multiply(inverse(Y3),X3)) = Y3,
    inference(paramodulation,[],['45','47']) ).

cnf('49',plain,
    multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity),
    inference(paramodulation,[],['3','11']) ).

cnf('50',plain,
    double_divide(X,inverse(identity)) = inverse(multiply(inverse(inverse(X)),identity)),
    inference(paramodulation,[],['49','8']) ).

cnf('51',plain,
    double_divide(multiply(inverse(inverse(X3)),identity),multiply(Y3,double_divide(identity,double_divide(double_divide(X3,inverse(identity)),double_divide(Y3,Z3))))) = Z3,
    inference(paramodulation,[],['50','6']) ).

cnf('52',plain,
    double_divide(X,multiply(Y,multiply(double_divide(Y,Z),inverse(X)))) = Z,
    inference(simplify,[then_simplify],['51','45','42','20','2','44','3']) ).

cnf('53',plain,
    double_divide(double_divide(X3,Y3),multiply(X3,identity)) = Y3,
    inference(paramodulation,[],['38','52']) ).

cnf('54',plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference(simplify,[],['53','42']) ).

cnf('55',plain,
    double_divide(inverse(X),Y) = multiply(X,inverse(Y)),
    inference(paramodulation,[],['46','54']) ).

cnf('56',plain,
    double_divide(X,Y) = inverse(multiply(Y,X)),
    inference(paramodulation,[],['3','45']) ).

cnf('57',plain,
    double_divide(X,double_divide(Y,X)) = Y,
    inference(paramodulation,[],['54','54']) ).

cnf('58',plain,
    multiply(double_divide(X,Y),Y) = inverse(X),
    inference(paramodulation,[],['57','3']) ).

cnf('59',plain,
    double_divide(X3,multiply(double_divide(Y3,Z3),double_divide(identity,inverse(inverse(X3))))) = multiply(Z3,Y3),
    inference(paramodulation,[],['3','8']) ).

cnf('60',plain,
    double_divide(X,multiply(double_divide(Y,Z),inverse(X))) = multiply(Z,Y),
    inference(simplify,[then_simplify],['59','45','44']) ).

cnf('61',plain,
    double_divide(X,inverse(Y)) = multiply(inverse(X),Y),
    inference(paramodulation,[],['58','60']) ).

cnf('62',plain,
    multiply(X,multiply(inverse(X),Y)) = Y,
    inference(simplify,[then_simplify],['48','55','56','61']) ).

cnf('63',plain,
    multiply(double_divide(X,Y),multiply(multiply(Y,X),Z)) = Z,
    inference(paramodulation,[],['3','62']) ).

cnf('64',plain,
    double_divide(inverse(X3),multiply(Y3,multiply(double_divide(Y3,Z3),X3))) = Z3,
    inference(paramodulation,[],['45','52']) ).

cnf('65',plain,
    multiply(X,double_divide(multiply(double_divide(Y,Z),X),Y)) = Z,
    inference(simplify,[then_simplify],['64','55','56']) ).

cnf('66',plain,
    multiply(multiply(multiply(X,Y),Z),double_divide(Z,Y)) = X,
    inference(paramodulation,[],['63','65']) ).

cnf('67',plain,
    multiply(inverse(X),multiply(X,Y)) = Y,
    inference(paramodulation,[],['45','62']) ).

cnf('68',plain,
    multiply(inverse(double_divide(X3,Y3)),inverse(X3)) = Y3,
    inference(paramodulation,[],['58','67']) ).

cnf('69',plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference(simplify,[],['68','3']) ).

cnf('70',plain,
    multiply(X3,inverse(double_divide(Y3,Z3))) = multiply(multiply(X3,Z3),Y3),
    inference(paramodulation,[],['66','69']) ).

cnf('71',plain,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
    inference(simplify,[],['70','3']) ).

cnf('72',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2 ),
    inference(cnf_transformation,[],[prove_these_axioms]) ).

cnf('73',plain,
    multiply(inverse(X3),X3) = identity,
    inference(paramodulation,[],['20','11']) ).

cnf('74',plain,
    multiply(identity,X3) = X3,
    inference(paramodulation,[],['45','10']) ).

cnf('75',plain,
    $false,
    inference(paramodulation,[then_simplify],['71','72','73','74']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.08/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 00:10:21 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.39  
% 0.22/0.39  input clause set summed statistics:
% 0.22/0.39  ----------------------------------
% 0.22/0.39  in_clause_count:                     5
% 0.22/0.39  in_rule_clause_count:                5
% 0.22/0.39  in_fact_clause_count:                0
% 0.22/0.39  in_answer_clause_count:              0
% 0.22/0.39  in_ground_clause_count:              1
% 0.22/0.39  in_unit_clause_count:                4
% 0.22/0.39  in_horn_clause_count:                5
% 0.22/0.39  in_pos_clause_count:                 4
% 0.22/0.39  in_neg_clause_count:                 1
% 0.22/0.39  in_poseq_clause_count:               4
% 0.22/0.39  in_negeq_clause_count:               1
% 0.22/0.39  in_unitposeq_clause_count:           4
% 0.22/0.39  in_chain_clause_count:               0
% 0.22/0.39  in_min_length:             1
% 0.22/0.39  in_max_length:             3
% 0.22/0.39  in_min_depth:              2
% 0.22/0.39  in_max_depth:              7
% 0.22/0.39  in_min_size:               6
% 0.22/0.39  in_max_size:              22
% 0.22/0.39  in_min_vars:               0
% 0.22/0.39  in_max_vars:               3
% 0.22/0.39  in_extaxiom_count:                 0
% 0.22/0.39  in_axiom_count:                    4
% 0.22/0.39  in_assumption_count:               0
% 0.22/0.39  in_goal_count:                     1
% 0.22/0.39  in_neg_goal_count:                 1
% 0.22/0.39  in_pos_goal_count:                 0
% 0.22/0.39  in_posunit_goal_count:             0
% 0.22/0.39  
% 0.22/0.39  auto guide:
% 0.22/0.39  -----------
% 0.22/0.39  {
% 0.22/0.39  "print":1,
% 0.22/0.39  "print_level": 15,
% 0.22/0.39  "max_size": 0,
% 0.22/0.39  "max_depth": 0,
% 0.22/0.39  "max_length": 0,
% 0.22/0.39  "max_dseconds": 0,
% 0.22/0.39  "runs":[
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
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% 0.22/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.39  {"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":50},
% 0.22/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.22/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.22/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.22/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.22/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.22/0.39  {"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":50},
% 0.22/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.22/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.39  
% 0.22/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.22/0.39  
% 0.22/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.39  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.39  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.22/0.39  
% 0.22/0.39  ]}
% 0.22/0.39  
% 0.22/0.39  
% 0.22/0.39  **** run 1 fork 0 starts with strategy
% 0.22/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.39  
% 0.22/0.39  **** run 2 fork 1 starts with strategy
% 0.22/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.39  
% 0.22/0.39  **** run 3 fork 2 starts with strategy
% 0.22/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.40  
% 0.22/0.40  **** run 4 fork 3 starts with strategy
% 0.22/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.22/0.40  
% 0.22/0.40  **** run 5 fork 4 starts with strategy
% 0.22/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.40  
% 0.22/0.40  **** run 6 fork 5 starts with strategy
% 0.22/0.40  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.40  
% 0.22/0.40  **** run 7 fork 6 starts with strategy
% 0.22/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 8 fork 7 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.42  
% 0.22/0.42  fork 3: search finished without proof.
% 0.22/0.43  
% 0.22/0.43  fork 6: search finished without proof.
% 0.22/0.44  
% 0.22/0.44  fork 7: search finished without proof.
% 0.22/0.44  
% 0.22/0.44  fork 5: search finished without proof.
% 0.22/0.45  
% 0.22/0.45  **** run 15 fork 6 starts with strategy
% 0.22/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.46  
% 0.22/0.46  **** run 12 fork 3 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.46  
% 0.22/0.46  **** run 16 fork 7 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.47  
% 0.22/0.47  **** run 14 fork 5 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  fork 4: search terminated without proof.
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  fork 1: search terminated without proof.
% 0.22/0.54  
% 0.22/0.54  **** run 10 fork 1 starts with strategy
% 0.22/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.54  
% 0.22/0.54  **** run 13 fork 4 starts with strategy
% 0.22/0.54  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0}
% 0.22/0.56  
% 0.22/0.56  fork 1: search finished without proof.
% 0.22/0.57  
% 0.22/0.57  fork 6: search finished without proof.
% 0.22/0.58  
% 0.22/0.58  **** run 18 fork 1 starts with strategy
% 0.22/0.58  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 1.38/0.60  
% 1.38/0.60  **** run 23 fork 6 starts with strategy
% 1.38/0.60  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 1.38/0.62  
% 1.38/0.62  
% 1.38/0.62  result: proof found
% 1.38/0.62  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.38/0.62  by run 13 fork 4 strategy {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0}
% 1.38/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.38/0.62  
% 1.38/0.62  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 1.38/0.62  
% 1.38/0.62  run 13 fork 4 statistics:
% 1.38/0.62  ----------------------------------
% 1.38/0.62  this run seconds: 0.065139
% 1.38/0.62  total seconds: 0.221761
% 1.38/0.62  stat_given_used: 121
% 1.38/0.62  stat_given_used_at_endgame: 0
% 1.38/0.62  stat_given_candidates:   1773
% 1.38/0.62  stat_given_candidates_at_endgame: 0
% 1.38/0.62  stat_given_candidates_h: 0
% 1.38/0.62  stat_binres_derived_cl:   0
% 1.38/0.62  stat_binres_derived_cl_h: 0
% 1.38/0.62  stat_factor_derived_cl: 0
% 1.38/0.62  stat_para_derived_cl: 9983
% 1.38/0.62  stat_tautologies_discarded: 0
% 1.38/0.62  stat_forward_subsumed: 1055
% 1.38/0.62  stat_derived_cut: 1
% 1.38/0.62  stat_derived_rewritten: 33
% 1.38/0.62  stat_weight_discarded_building: 0
% 1.38/0.62  stat_weight_discarded_cl: 640
% 1.38/0.62  stat_internlimit_discarded_cl: 0
% 1.38/0.62  stat_simplified:  33 simplified 0 derived 0 given
% 1.38/0.62  stat_kept_cl: 7998
% 1.38/0.62  stat_built_cl: 8913
% 1.38/0.62  stat_hyperres_partial_cl: 0
% 1.38/0.62  stat_made_rewriters: 116
% 1.38/0.62  stat_backward_subsumed: 0
% 1.38/0.62  stat_propagated_subsumed: 0
% 1.38/0.62  stat_clsubs_attempted:                       667
% 1.38/0.62  stat_clsubs_fact_groundunit_found:             0
% 1.38/0.62  stat_clsubs_rule_groundunit_found:             0
% 1.38/0.62  stat_clsubs_top_meta_attempted:               6742
% 1.38/0.62  stat_clsubs_top_meta_failed:                  6075
% 1.38/0.62  stat_clsubs_top_meta_nonpref_attempted:                6742
% 1.38/0.62  stat_clsubs_top_meta_nonpref_succeeded:                2233
% 1.38/0.62  stat_clsubs_top_meta_pref_attempted:                   2233
% 1.38/0.62  stat_clsubs_top_meta_pref1_succeeded:                  2226
% 1.38/0.62  stat_clsubs_top_meta_pref2_succeeded:                   968
% 1.38/0.62  stat_clsubs_top_meta_pref3_succeeded:                   667
% 1.38/0.62  stat_clsubs_top_meta_pref_succeeded:                    667
% 1.38/0.62  stat_clsubs_meta_attempted:                  667
% 1.38/0.62  stat_clsubs_meta_failed:                      16
% 1.38/0.62  stat_clsubs_predsymbs_attempted:               0
% 1.38/0.62  stat_clsubs_unit_attempted:                  667
% 1.38/0.62  stat_clsubs_full_attempted:                    0
% 1.38/0.62  stat_forwardsubs_attempted:                 9694
% 1.38/0.62  stat_lit_hash_added:                   8007
% 1.38/0.62  stat_lit_hash_computed:               17851
% 1.38/0.62  stat_lit_hash_match_found:             1061
% 1.38/0.62  stat_lit_hash_match_miss:             17462
% 1.38/0.62  stat_lit_hash_cut_ok:                     0
% 1.38/0.62  stat_lit_strong_cut_ok:                   2
% 1.38/0.62  stat_lit_hash_subsume_ok:              1055
% 1.38/0.62  clqueue els 10000000 used 1
% 1.38/0.62  clactive els 10000000 used 122
% 1.38/0.62  clactivesubsume els 10000000 used 697
% 1.38/0.62  queue_termbuf els 200000000 used 562769
% 1.38/0.62  hyper_termbuf els 100000000 used 1
% 1.38/0.62  active_termbuf els 100000000 used 5146
% 1.38/0.62  varstack els 5000 last used 1
% 1.38/0.62  given_termbuf els 10000000 last used 1
% 1.38/0.62  simplified_termbuf els 10000000 last used 1
% 1.38/0.62  derived_termbuf els 10000000 last used 90
% 1.38/0.62  wr_mallocs: 30118
% 1.38/0.62  wr_callocs: 21
% 1.38/0.62  wr_reallocs: 820
% 1.38/0.62  wr_frees: 2
% 1.38/0.62  wr_malloc_bytes: 4163659908
% 1.38/0.62  wr_calloc_bytes: 112065536
% 1.38/0.62  wr_realloc_bytes: 233208
% 1.38/0.62  wr_realloc_freebytes: 0
% 1.38/0.62  ----------------------------------
%------------------------------------------------------------------------------