TSTP Solution File: GRP076-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n009.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 00:52:14 EDT 2023

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% 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(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
    inference(cnf_transformation,[],[single_axiom]) ).

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

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

cnf('8',plain,
    double_divide(double_divide(X,double_divide(identity,inverse(Y))),inverse(identity)) = multiply(Y,X),
    inference(simplify,[],['7','3']) ).

cnf('9',plain,
    double_divide(double_divide(X3,identity),inverse(identity)) = multiply(identity,X3),
    inference(paramodulation,[],['4','8']) ).

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

cnf('11',plain,
    double_divide(inverse(X),inverse(identity)) = inverse(inverse(X)),
    inference(simplify,[then_simplify],['9','2','10']) ).

cnf('12',plain,
    double_divide(multiply(X3,Y3),inverse(identity)) = inverse(inverse(double_divide(Y3,X3))),
    inference(paramodulation,[],['3','11']) ).

cnf('13',plain,
    double_divide(multiply(X,Y),inverse(identity)) = inverse(multiply(X,Y)),
    inference(simplify,[],['12','3']) ).

cnf('14',plain,
    double_divide(double_divide(X3,double_divide(inverse(double_divide(X3,Y3)),inverse(Y3))),inverse(identity)) = identity,
    inference(paramodulation,[],['2','6']) ).

cnf('15',plain,
    double_divide(double_divide(X,double_divide(multiply(Y,X),inverse(Y))),inverse(identity)) = identity,
    inference(simplify,[],['14','3']) ).

cnf('16',plain,
    double_divide(double_divide(X3,inverse(multiply(identity,X3))),inverse(identity)) = identity,
    inference(paramodulation,[],['13','15']) ).

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

cnf('18',plain,
    double_divide(double_divide(X3,double_divide(identity,inverse(inverse(inverse(inverse(X3)))))),inverse(identity)) = inverse(identity),
    inference(paramodulation,[],['17','6']) ).

cnf('19',plain,
    double_divide(double_divide(X3,identity),inverse(identity)) = inverse(inverse(inverse(double_divide(X3,identity)))),
    inference(paramodulation,[],['17','6']) ).

cnf('20',plain,
    inverse(inverse(X)) = inverse(inverse(inverse(inverse(X)))),
    inference(simplify,[then_simplify],['19','2','11','2']) ).

cnf('21',plain,
    double_divide(double_divide(X3,Y3),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(X3,identity),Z3),Y3),inverse(Z3)),
    inference(paramodulation,[],['6','6']) ).

cnf('22',plain,
    double_divide(double_divide(X,Y),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X),Z),Y),inverse(Z)),
    inference(simplify,[],['21','2']) ).

cnf('23',plain,
    double_divide(double_divide(X3,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(inverse(inverse(inverse(inverse(X3)))))),
    inference(paramodulation,[],['17','22']) ).

cnf('24',plain,
    double_divide(double_divide(X,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(inverse(inverse(X)))),
    inference(simplify,[],['23','20']) ).

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

cnf('26',plain,
    inverse(inverse(inverse(X))) = double_divide(identity,inverse(inverse(X))),
    inference(simplify,[then_simplify],['25','11','20']) ).

cnf('27',plain,
    identity = inverse(identity),
    inference(simplify,[then_simplify],['18','20','26','17']) ).

cnf('28',plain,
    double_divide(double_divide(double_divide(X3,inverse(inverse(inverse(X3)))),double_divide(double_divide(identity,Y3),inverse(inverse(identity)))),inverse(identity)) = Y3,
    inference(paramodulation,[],['17','6']) ).

cnf('29',plain,
    multiply(multiply(X,identity),double_divide(Y,inverse(inverse(inverse(Y))))) = X,
    inference(simplify,[then_simplify],['28','27','27','2','3','27','2','3']) ).

cnf('30',plain,
    multiply(multiply(X3,identity),double_divide(identity,inverse(inverse(identity)))) = X3,
    inference(paramodulation,[],['27','29']) ).

cnf('31',plain,
    multiply(inverse(inverse(X3)),identity) = inverse(inverse(inverse(inverse(X3)))),
    inference(paramodulation,[],['26','3']) ).

cnf('32',plain,
    multiply(inverse(inverse(X)),identity) = inverse(inverse(X)),
    inference(simplify,[],['31','20']) ).

cnf('33',plain,
    double_divide(double_divide(X3,double_divide(identity,inverse(inverse(Y3)))),inverse(identity)) = multiply(inverse(inverse(inverse(Y3))),X3),
    inference(paramodulation,[],['20','8']) ).

cnf('34',plain,
    multiply(inverse(X),Y) = multiply(inverse(inverse(inverse(X))),Y),
    inference(simplify,[],['33','8']) ).

cnf('35',plain,
    multiply(multiply(X3,Y3),Z3) = multiply(inverse(inverse(inverse(double_divide(Y3,X3)))),Z3),
    inference(paramodulation,[],['3','34']) ).

cnf('36',plain,
    multiply(multiply(X,Y),Z) = multiply(inverse(inverse(multiply(X,Y))),Z),
    inference(simplify,[],['35','3']) ).

cnf('37',plain,
    multiply(multiply(X,Y),identity) = inverse(inverse(multiply(X,Y))),
    inference(paramodulation,[],['32','36']) ).

cnf('38',plain,
    inverse(inverse(multiply(X,identity))) = X,
    inference(simplify,[then_simplify],['30','27','27','2','27','37']) ).

cnf('39',plain,
    identity = double_divide(inverse(multiply(X3,identity)),X3),
    inference(paramodulation,[],['38','4']) ).

cnf('40',plain,
    inverse(multiply(X3,Y3)) = inverse(inverse(inverse(inverse(double_divide(Y3,X3))))),
    inference(paramodulation,[],['3','20']) ).

cnf('41',plain,
    inverse(multiply(X,Y)) = inverse(inverse(inverse(multiply(X,Y)))),
    inference(simplify,[],['40','3']) ).

cnf('42',plain,
    inverse(multiply(X,identity)) = inverse(X),
    inference(paramodulation,[],['38','41']) ).

cnf('43',plain,
    identity = double_divide(inverse(X),X),
    inference(simplify,[],['39','42']) ).

cnf('44',plain,
    multiply(X3,inverse(X3)) = inverse(identity),
    inference(paramodulation,[],['43','3']) ).

cnf('45',plain,
    multiply(X,inverse(X)) = identity,
    inference(simplify,[],['44','27']) ).

cnf('46',plain,
    double_divide(double_divide(X3,identity),inverse(identity)) = double_divide(multiply(Y3,double_divide(X3,identity)),inverse(Y3)),
    inference(paramodulation,[],['15','6']) ).

cnf('47',plain,
    inverse(inverse(X)) = double_divide(multiply(Y,inverse(X)),inverse(Y)),
    inference(simplify,[then_simplify],['46','2','11','2']) ).

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

cnf('49',plain,
    X3 = double_divide(inverse(multiply(X3,identity)),identity),
    inference(paramodulation,[],['38','2']) ).

cnf('50',plain,
    X = inverse(inverse(X)),
    inference(simplify,[then_simplify],['49','42','2']) ).

cnf('51',plain,
    X = double_divide(identity,inverse(X)),
    inference(simplify,[],['48','50']) ).

cnf('52',plain,
    double_divide(double_divide(X3,double_divide(double_divide(double_divide(X3,inverse(inverse(inverse(Y3)))),Z3),inverse(inverse(Y3)))),inverse(identity)) = Z3,
    inference(paramodulation,[],['20','6']) ).

cnf('53',plain,
    multiply(double_divide(double_divide(double_divide(X,inverse(Y)),Z),Y),X) = Z,
    inference(simplify,[then_simplify],['52','50','50','27','2','3']) ).

cnf('54',plain,
    multiply(double_divide(double_divide(X3,Y3),X3),identity) = Y3,
    inference(paramodulation,[],['51','53']) ).

cnf('55',plain,
    multiply(X,identity) = X,
    inference(paramodulation,[],['50','38']) ).

cnf('56',plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference(simplify,[],['54','55']) ).

cnf('57',plain,
    double_divide(double_divide(multiply(X3,inverse(Y3)),double_divide(double_divide(inverse(inverse(Y3)),Z3),inverse(inverse(X3)))),inverse(identity)) = Z3,
    inference(paramodulation,[],['47','6']) ).

cnf('58',plain,
    multiply(double_divide(double_divide(X,Y),Z),multiply(Z,inverse(X))) = Y,
    inference(simplify,[then_simplify],['57','50','50','27','2','3']) ).

cnf('59',plain,
    multiply(double_divide(X3,Y3),multiply(Y3,inverse(double_divide(Z3,X3)))) = Z3,
    inference(paramodulation,[],['56','58']) ).

cnf('60',plain,
    multiply(double_divide(X,Y),multiply(Y,multiply(X,Z))) = Z,
    inference(simplify,[],['59','3']) ).

cnf('61',plain,
    double_divide(inverse(inverse(X3)),multiply(Y3,inverse(X3))) = inverse(Y3),
    inference(paramodulation,[],['47','56']) ).

cnf('62',plain,
    double_divide(X,multiply(Y,inverse(X))) = inverse(Y),
    inference(simplify,[],['61','50']) ).

cnf('63',plain,
    multiply(double_divide(double_divide(identity,X3),Y3),Y3) = X3,
    inference(paramodulation,[],['4','53']) ).

cnf('64',plain,
    inverse(X) = double_divide(identity,X),
    inference(paramodulation,[],['50','51']) ).

cnf('65',plain,
    multiply(double_divide(inverse(X),Y),Y) = X,
    inference(simplify,[],['63','64']) ).

cnf('66',plain,
    multiply(inverse(X3),multiply(X3,inverse(inverse(Y3)))) = Y3,
    inference(paramodulation,[],['62','65']) ).

cnf('67',plain,
    multiply(inverse(X),multiply(X,Y)) = Y,
    inference(simplify,[],['66','50']) ).

cnf('68',plain,
    multiply(inverse(double_divide(X3,Y3)),Z3) = multiply(Y3,multiply(X3,Z3)),
    inference(paramodulation,[],['60','67']) ).

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

cnf('70',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('71',plain,
    double_divide(double_divide(X3,multiply(Y3,double_divide(X3,identity))),inverse(identity)) = double_divide(identity,inverse(Y3)),
    inference(paramodulation,[],['8','6']) ).

cnf('72',plain,
    double_divide(double_divide(X,multiply(Y,inverse(X))),inverse(identity)) = double_divide(identity,inverse(Y)),
    inference(simplify,[],['71','2']) ).

cnf('73',plain,
    double_divide(double_divide(X3,double_divide(identity,inverse(Y3))),inverse(identity)) = multiply(Y3,inverse(double_divide(X3,identity))),
    inference(paramodulation,[],['72','6']) ).

cnf('74',plain,
    multiply(X,Y) = multiply(X,inverse(inverse(Y))),
    inference(simplify,[then_simplify],['73','8','2']) ).

cnf('75',plain,
    multiply(inverse(X3),X3) = identity,
    inference(paramodulation,[],['45','74']) ).

cnf('76',plain,
    multiply(identity,X3) = X3,
    inference(paramodulation,[],['43','65']) ).

cnf('77',plain,
    $false,
    inference(resolution,[then_simplify],['69','70','75','76']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.10/0.13  % Command  : gkc %s
% 0.12/0.35  % Computer : n009.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Aug 29 00:04:50 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.40  
% 0.12/0.40  input clause set summed statistics:
% 0.12/0.40  ----------------------------------
% 0.12/0.40  in_clause_count:                     5
% 0.12/0.40  in_rule_clause_count:                5
% 0.12/0.40  in_fact_clause_count:                0
% 0.12/0.40  in_answer_clause_count:              0
% 0.12/0.40  in_ground_clause_count:              1
% 0.12/0.40  in_unit_clause_count:                4
% 0.12/0.40  in_horn_clause_count:                5
% 0.12/0.40  in_pos_clause_count:                 4
% 0.12/0.40  in_neg_clause_count:                 1
% 0.12/0.40  in_poseq_clause_count:               4
% 0.12/0.40  in_negeq_clause_count:               1
% 0.12/0.40  in_unitposeq_clause_count:           4
% 0.12/0.40  in_chain_clause_count:               0
% 0.12/0.40  in_min_length:             1
% 0.12/0.40  in_max_length:             3
% 0.12/0.40  in_min_depth:              2
% 0.12/0.40  in_max_depth:              6
% 0.12/0.40  in_min_size:               6
% 0.12/0.40  in_max_size:              22
% 0.12/0.40  in_min_vars:               0
% 0.12/0.40  in_max_vars:               3
% 0.12/0.40  in_extaxiom_count:                 0
% 0.12/0.40  in_axiom_count:                    4
% 0.12/0.40  in_assumption_count:               0
% 0.12/0.40  in_goal_count:                     1
% 0.12/0.40  in_neg_goal_count:                 1
% 0.12/0.40  in_pos_goal_count:                 0
% 0.12/0.40  in_posunit_goal_count:             0
% 0.12/0.40  
% 0.12/0.40  auto guide:
% 0.12/0.40  -----------
% 0.12/0.40  {
% 0.12/0.40  "print":1,
% 0.12/0.40  "print_level": 15,
% 0.12/0.40  "max_size": 0,
% 0.12/0.40  "max_depth": 0,
% 0.12/0.40  "max_length": 0,
% 0.12/0.40  "max_dseconds": 0,
% 0.12/0.40  "runs":[
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
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% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.40  {"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},
% 0.12/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.12/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.12/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.12/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.12/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.12/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.12/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.12/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.12/0.40  {"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},
% 0.12/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.12/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.40  
% 0.12/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.12/0.40  
% 0.12/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.40  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.40  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.12/0.40  
% 0.12/0.40  ]}
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  **** run 2 fork 1 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.12/0.40  
% 0.12/0.40  **** run 3 fork 2 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.40  
% 0.12/0.40  **** run 4 fork 3 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.12/0.40  
% 0.12/0.40  **** run 1 fork 0 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.12/0.40  
% 0.12/0.40  **** run 6 fork 5 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.12/0.40  
% 0.12/0.40  **** run 7 fork 6 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.12/0.40  
% 0.12/0.40  **** run 5 fork 4 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.40  **** run 8 fork 7 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.12/0.40  
% 0.20/0.44  
% 0.20/0.44  fork 5: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  fork 6: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  fork 7: search finished without proof.
% 0.20/0.47  
% 0.20/0.47  **** run 16 fork 7 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  result: proof found
% 0.20/0.48  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.48  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.48  
% 0.20/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.48  
% 0.20/0.48  run 4 fork 3 statistics:
% 0.20/0.48  ----------------------------------
% 0.20/0.48  this run seconds: 0.048952
% 0.20/0.48  total seconds: 0.077062
% 0.20/0.48  stat_given_used: 128
% 0.20/0.48  stat_given_used_at_endgame: 0
% 0.20/0.48  stat_given_candidates:   598
% 0.20/0.48  stat_given_candidates_at_endgame: 0
% 0.20/0.48  stat_given_candidates_h: 0
% 0.20/0.48  stat_binres_derived_cl:   1
% 0.20/0.48  stat_binres_derived_cl_h: 0
% 0.20/0.48  stat_factor_derived_cl: 0
% 0.20/0.48  stat_para_derived_cl: 2024
% 0.20/0.48  stat_tautologies_discarded: 0
% 0.20/0.48  stat_forward_subsumed: 131
% 0.20/0.48  stat_derived_cut: 1
% 0.20/0.48  stat_derived_rewritten: 52
% 0.20/0.48  stat_weight_discarded_building: 0
% 0.20/0.48  stat_weight_discarded_cl: 0
% 0.20/0.48  stat_internlimit_discarded_cl: 0
% 0.20/0.48  stat_simplified:  52 simplified 0 derived 0 given
% 0.20/0.48  stat_kept_cl: 1737
% 0.20/0.48  stat_built_cl: 2045
% 0.20/0.48  stat_hyperres_partial_cl: 0
% 0.20/0.48  stat_made_rewriters: 126
% 0.20/0.48  stat_backward_subsumed: 0
% 0.20/0.48  stat_propagated_subsumed: 0
% 0.20/0.48  stat_clsubs_attempted:                       772
% 0.20/0.48  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.48  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.48  stat_clsubs_top_meta_attempted:               7954
% 0.20/0.48  stat_clsubs_top_meta_failed:                  7182
% 0.20/0.48  stat_clsubs_top_meta_nonpref_attempted:                7954
% 0.20/0.48  stat_clsubs_top_meta_nonpref_succeeded:                2344
% 0.20/0.48  stat_clsubs_top_meta_pref_attempted:                   2344
% 0.20/0.48  stat_clsubs_top_meta_pref1_succeeded:                  2344
% 0.20/0.48  stat_clsubs_top_meta_pref2_succeeded:                  1111
% 0.20/0.48  stat_clsubs_top_meta_pref3_succeeded:                   772
% 0.20/0.48  stat_clsubs_top_meta_pref_succeeded:                    772
% 0.20/0.48  stat_clsubs_meta_attempted:                  774
% 0.20/0.48  stat_clsubs_meta_failed:                      38
% 0.20/0.48  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.48  stat_clsubs_unit_attempted:                  771
% 0.20/0.48  stat_clsubs_full_attempted:                    1
% 0.20/0.48  stat_forwardsubs_attempted:                 1869
% 0.20/0.48  stat_lit_hash_added:                   1744
% 0.20/0.48  stat_lit_hash_computed:                3764
% 0.20/0.48  stat_lit_hash_match_found:              133
% 0.20/0.48  stat_lit_hash_match_miss:              3684
% 0.20/0.48  stat_lit_hash_cut_ok:                     0
% 0.20/0.48  stat_lit_strong_cut_ok:                   2
% 0.20/0.48  stat_lit_hash_subsume_ok:               131
% 0.20/0.48  clqueue els 10000000 used 1
% 0.20/0.48  clactive els 10000000 used 129
% 0.20/0.48  clactivesubsume els 10000000 used 751
% 0.20/0.48  queue_termbuf els 200000000 used 140169
% 0.20/0.48  hyper_termbuf els 100000000 used 1
% 0.20/0.48  active_termbuf els 100000000 used 6274
% 0.20/0.48  varstack els 5000 last used 1
% 0.20/0.48  given_termbuf els 10000000 last used 1
% 0.20/0.48  simplified_termbuf els 10000000 last used 1
% 0.20/0.48  derived_termbuf els 10000000 last used 52
% 0.20/0.48  wr_mallocs: 8183
% 0.20/0.48  wr_callocs: 21
% 0.20/0.48  wr_reallocs: 149
% 0.20/0.48  wr_frees: 2
% 0.20/0.48  wr_malloc_bytes: 4162868196
% 0.20/0.48  wr_calloc_bytes: 112065536
% 0.20/0.48  wr_realloc_bytes: 35104
% 0.20/0.48  wr_realloc_freebytes: 0
% 0.20/0.48  ----------------------------------
% 0.20/0.48  
% 0.20/0.48  **** run 15 fork 6 starts with strategy
% 0.20/0.48  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
%------------------------------------------------------------------------------