TSTP Solution File: GRP103-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 00:52:22 EDT 2023

% Result   : Unsatisfiable 3.17s 0.93s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named identity)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    identity = double_divide(X,inverse(X)),
    inference(cnf_transformation,[],[identity]) ).

cnf('2',plain,
    multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[],[multiply]) ).

cnf('3',plain,
    inverse(X) = double_divide(X,identity),
    inference(cnf_transformation,[],[inverse]) ).

cnf('4',plain,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    inference(simplify,[],['2','3']) ).

cnf('5',plain,
    multiply(inverse(X),X) = inverse(identity),
    inference(paramodulation,[],['1','4']) ).

cnf('6',plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
    inference(cnf_transformation,[],[single_axiom]) ).

cnf('7',plain,
    double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) = Z,
    inference(simplify,[],['6','3']) ).

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

cnf('9',plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,X3),identity)),inverse(identity)) = X3,
    inference(paramodulation,[],['1','8']) ).

cnf('10',plain,
    double_divide(double_divide(identity,multiply(X,identity)),inverse(identity)) = X,
    inference(simplify,[then_simplify],['9','3','4']) ).

cnf('11',plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
    inference(paramodulation,[],['5','10']) ).

cnf('12',plain,
    identity = inverse(identity),
    inference(simplify,[then_simplify],['11','1','1']) ).

cnf('13',plain,
    double_divide(double_divide(identity,multiply(X3,identity)),identity) = X3,
    inference(paramodulation,[],['12','10']) ).

cnf('14',plain,
    multiply(multiply(X,identity),identity) = X,
    inference(simplify,[then_simplify],['13','3','4']) ).

cnf('15',plain,
    identity = double_divide(double_divide(X,Y),multiply(Y,X)),
    inference(paramodulation,[],['4','1']) ).

cnf('16',plain,
    identity = double_divide(double_divide(identity,multiply(X,identity)),X),
    inference(paramodulation,[],['14','15']) ).

cnf('17',plain,
    double_divide(double_divide(inverse(X3),double_divide(double_divide(identity,X3),double_divide(Y3,identity))),inverse(identity)) = Y3,
    inference(paramodulation,[],['1','7']) ).

cnf('18',plain,
    multiply(double_divide(double_divide(identity,X),inverse(Y)),inverse(X)) = Y,
    inference(simplify,[then_simplify],['17','3','12','3','4']) ).

cnf('19',plain,
    multiply(identity,inverse(multiply(inverse(X3),identity))) = X3,
    inference(paramodulation,[],['16','18']) ).

cnf('20',plain,
    double_divide(double_divide(inverse(X),double_divide(double_divide(identity,X),inverse(Y))),inverse(identity)) = Y,
    inference(simplify,[],['17','3']) ).

cnf('21',plain,
    double_divide(double_divide(inverse(X3),identity),inverse(identity)) = double_divide(identity,X3),
    inference(paramodulation,[],['1','20']) ).

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

cnf('23',plain,
    multiply(inverse(identity),inverse(inverse(X3))) = inverse(double_divide(identity,X3)),
    inference(paramodulation,[],['22','4']) ).

cnf('24',plain,
    multiply(inverse(identity),inverse(inverse(X))) = multiply(X,identity),
    inference(simplify,[],['23','4']) ).

cnf('25',plain,
    multiply(identity,inverse(inverse(X3))) = multiply(X3,identity),
    inference(paramodulation,[],['12','24']) ).

cnf('26',plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(paramodulation,[],['3','4']) ).

cnf('27',plain,
    inverse(inverse(inverse(inverse(X)))) = multiply(X,identity),
    inference(simplify,[],['25','26']) ).

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

cnf('29',plain,
    double_divide(inverse(inverse(X3)),identity) = double_divide(identity,X3),
    inference(paramodulation,[],['12','22']) ).

cnf('30',plain,
    inverse(inverse(inverse(X))) = double_divide(identity,X),
    inference(simplify,[],['29','3']) ).

cnf('31',plain,
    double_divide(identity,inverse(X)) = multiply(X,identity),
    inference(paramodulation,[],['30','27']) ).

cnf('32',plain,
    double_divide(identity,multiply(X,Y)) = multiply(double_divide(Y,X),identity),
    inference(paramodulation,[],['4','31']) ).

cnf('33',plain,
    inverse(multiply(double_divide(identity,X),identity)) = X,
    inference(simplify,[then_simplify],['19','28','26','30','32']) ).

cnf('34',plain,
    double_divide(double_divide(inverse(multiply(X,identity)),X),inverse(identity)) = identity,
    inference(paramodulation,[],['10','20']) ).

cnf('35',plain,
    double_divide(double_divide(inverse(multiply(X3,identity)),X3),identity) = identity,
    inference(paramodulation,[],['12','34']) ).

cnf('36',plain,
    multiply(X,inverse(multiply(X,identity))) = identity,
    inference(simplify,[then_simplify],['35','3','4']) ).

cnf('37',plain,
    multiply(double_divide(identity,X),X) = identity,
    inference(paramodulation,[],['33','36']) ).

cnf('38',plain,
    double_divide(double_divide(X3,double_divide(identity,double_divide(Y3,double_divide(inverse(identity),X3)))),inverse(identity)) = Y3,
    inference(paramodulation,[],['1','7']) ).

cnf('39',plain,
    inverse(inverse(multiply(X,Y))) = double_divide(identity,double_divide(Y,X)),
    inference(paramodulation,[],['4','30']) ).

cnf('40',plain,
    multiply(inverse(inverse(multiply(double_divide(identity,X),Y))),X) = Y,
    inference(simplify,[then_simplify],['38','12','39','12','3','4']) ).

cnf('41',plain,
    multiply(inverse(inverse(identity)),X3) = X3,
    inference(paramodulation,[],['37','40']) ).

cnf('42',plain,
    inverse(inverse(X)) = X,
    inference(simplify,[then_simplify],['41','12','12','26']) ).

cnf('43',plain,
    multiply(multiply(double_divide(identity,X3),Y3),X3) = Y3,
    inference(paramodulation,[],['42','40']) ).

cnf('44',plain,
    inverse(X) = double_divide(identity,X),
    inference(paramodulation,[],['42','30']) ).

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

cnf('46',plain,
    multiply(multiply(X,Y),inverse(X)) = Y,
    inference(paramodulation,[],['42','45']) ).

cnf('47',plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(paramodulation,[],['4','42']) ).

cnf('48',plain,
    inverse(X) = double_divide(inverse(Y),multiply(Y,X)),
    inference(paramodulation,[],['46','47']) ).

cnf('49',plain,
    double_divide(double_divide(inverse(X3),double_divide(double_divide(identity,X3),multiply(Y3,Z3))),inverse(identity)) = double_divide(Z3,Y3),
    inference(paramodulation,[],['4','20']) ).

cnf('50',plain,
    multiply(double_divide(inverse(X),multiply(Y,Z)),inverse(X)) = double_divide(Z,Y),
    inference(simplify,[then_simplify],['49','44','12','3','4']) ).

cnf('51',plain,
    multiply(inverse(X3),inverse(Y3)) = double_divide(X3,Y3),
    inference(paramodulation,[],['48','50']) ).

cnf('52',plain,
    double_divide(double_divide(X,double_divide(identity,double_divide(Y,double_divide(inverse(identity),X)))),inverse(identity)) = Y,
    inference(paramodulation,[],['1','7']) ).

cnf('53',plain,
    double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X3,double_divide(identity,double_divide(Y3,double_divide(inverse(identity),X3))))),double_divide(Z3,Y3))),inverse(identity)) = Z3,
    inference(paramodulation,[],['52','7']) ).

cnf('54',plain,
    inverse(multiply(double_divide(X,Y),multiply(multiply(inverse(Z),Y),Z))) = X,
    inference(simplify,[then_simplify],['53','12','12','44','44','4','44','4','44','4','12','3']) ).

cnf('55',plain,
    inverse(multiply(double_divide(X3,Y3),Y3)) = X3,
    inference(paramodulation,[],['45','54']) ).

cnf('56',plain,
    double_divide(X,double_divide(Y,X)) = Y,
    inference(simplify,[],['55','47']) ).

cnf('57',plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference(paramodulation,[],['56','56']) ).

cnf('58',plain,
    multiply(X,double_divide(X,Y)) = inverse(Y),
    inference(paramodulation,[],['57','4']) ).

cnf('59',plain,
    multiply(inverse(X),inverse(Y)) = double_divide(Y,X),
    inference(paramodulation,[],['58','46']) ).

cnf('60',plain,
    double_divide(X,Y) = double_divide(Y,X),
    inference(simplify,[],['51','59']) ).

cnf('61',plain,
    double_divide(double_divide(X,Y),Y) = X,
    inference(paramodulation,[],['60','57']) ).

cnf('62',plain,
    multiply(X3,Y3) = inverse(double_divide(X3,Y3)),
    inference(paramodulation,[],['60','4']) ).

cnf('63',plain,
    multiply(X,Y) = multiply(Y,X),
    inference(simplify,[],['62','4']) ).

cnf('64',plain,
    multiply(double_divide(X,Y),Y) = inverse(X),
    inference(paramodulation,[],['56','4']) ).

cnf('65',plain,
    multiply(inverse(X3),inverse(double_divide(X3,Y3))) = Y3,
    inference(paramodulation,[],['64','46']) ).

cnf('66',plain,
    multiply(inverse(X),multiply(Y,X)) = Y,
    inference(simplify,[],['65','4']) ).

cnf('67',plain,
    multiply(inverse(X),multiply(X,Y)) = Y,
    inference(paramodulation,[],['63','66']) ).

cnf('68',plain,
    double_divide(double_divide(X3,double_divide(multiply(Y3,identity),double_divide(Z3,double_divide(inverse(Y3),X3)))),inverse(identity)) = Z3,
    inference(paramodulation,[],['31','7']) ).

cnf('69',plain,
    inverse(inverse(X3)) = multiply(X3,identity),
    inference(paramodulation,[],['42','27']) ).

cnf('70',plain,
    X = multiply(X,identity),
    inference(simplify,[],['69','42']) ).

cnf('71',plain,
    multiply(inverse(X),Y) = double_divide(inverse(Y),X),
    inference(paramodulation,[],['58','45']) ).

cnf('72',plain,
    multiply(double_divide(X,double_divide(Y,multiply(inverse(Z),X))),Z) = Y,
    inference(simplify,[then_simplify],['68','70','71','12','3','4']) ).

cnf('73',plain,
    multiply(double_divide(multiply(X,Y),double_divide(Z,Y)),X) = Z,
    inference(paramodulation,[],['67','72']) ).

cnf('74',plain,
    multiply(X,multiply(Y,inverse(X))) = Y,
    inference(paramodulation,[],['42','66']) ).

cnf('75',plain,
    multiply(X,multiply(inverse(X),Y)) = Y,
    inference(paramodulation,[],['63','74']) ).

cnf('76',plain,
    multiply(multiply(X,Y),multiply(double_divide(Y,X),Z)) = Z,
    inference(paramodulation,[],['47','75']) ).

cnf('77',plain,
    multiply(multiply(X,Y),multiply(double_divide(X,Y),Z)) = Z,
    inference(paramodulation,[],['63','76']) ).

cnf('78',plain,
    multiply(multiply(multiply(X,Y),double_divide(Z,Y)),Z) = X,
    inference(paramodulation,[],['73','77']) ).

cnf('79',plain,
    multiply(multiply(multiply(X,Y),Z),double_divide(Z,Y)) = X,
    inference(paramodulation,[],['61','78']) ).

cnf('80',plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference(paramodulation,[],['63','74']) ).

cnf('81',plain,
    multiply(multiply(X,double_divide(Y,Z)),multiply(Z,Y)) = X,
    inference(paramodulation,[],['47','80']) ).

cnf('82',plain,
    multiply(multiply(X,double_divide(Y,Z)),multiply(Y,Z)) = X,
    inference(paramodulation,[],['60','81']) ).

cnf('83',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2 ),
    inference(cnf_transformation,[],[prove_these_axioms]) ).

cnf('84',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | multiply(inverse(a1),a1) != identity
    | inverse(inverse(a2)) != a2 ),
    inference(paramodulation,[],['26','83']) ).

cnf('85',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | inverse(identity) != identity
    | inverse(inverse(a2)) != a2 ),
    inference(simplify,[],['84','5']) ).

cnf('86',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | inverse(inverse(a2)) != a2 ),
    inference(paramodulation,[],['12','85']) ).

cnf('87',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    inference(resolution,[],['42','86']) ).

cnf('88',plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(resolution,[],['63','87']) ).

cnf('89',plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(paramodulation,[],['63','88']) ).

cnf('90',plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3)),
    inference(paramodulation,[],['63','89']) ).

cnf('91',plain,
    multiply(c3,multiply(a3,b3)) != multiply(multiply(c3,b3),a3),
    inference(paramodulation,[],['63','90']) ).

cnf('92',plain,
    $false,
    inference(paramodulation,[then_simplify],['79','82','91']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13  % Command  : gkc %s
% 0.15/0.33  % Computer : n015.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Aug 29 02:34:25 EDT 2023
% 0.15/0.34  % 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:                     5
% 0.19/0.38  in_rule_clause_count:                5
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              1
% 0.19/0.38  in_unit_clause_count:                4
% 0.19/0.38  in_horn_clause_count:                5
% 0.19/0.38  in_pos_clause_count:                 4
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:               4
% 0.19/0.38  in_negeq_clause_count:               1
% 0.19/0.38  in_unitposeq_clause_count:           4
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             4
% 0.19/0.38  in_min_depth:              2
% 0.19/0.38  in_max_depth:              6
% 0.19/0.38  in_min_size:               6
% 0.19/0.38  in_max_size:              29
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               3
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                    4
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     1
% 0.19/0.38  in_neg_goal_count:                 1
% 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  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "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":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 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":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 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", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 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", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 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  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 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":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 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  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 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":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.38  {"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},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 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":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "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":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "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,"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 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"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":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"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":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.41  
% 0.19/0.41  fork 5: search finished without proof.
% 0.19/0.42  
% 0.19/0.42  fork 6: search finished without proof.
% 0.19/0.42  
% 0.19/0.42  fork 7: search finished without proof.
% 0.19/0.45  
% 0.19/0.45  **** run 14 fork 5 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.19/0.45  
% 0.19/0.45  **** run 15 fork 6 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  **** run 16 fork 7 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 1: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 2: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 0: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  **** run 10 fork 1 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.52  
% 0.19/0.52  **** run 11 fork 2 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 9 fork 0 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  fork 1: search finished without proof.
% 0.19/0.55  
% 0.19/0.55  fork 0: search finished without proof.
% 0.19/0.56  
% 0.19/0.56  fork 6: search finished without proof.
% 0.19/0.56  
% 0.19/0.56  **** run 18 fork 1 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  fork 7: search terminated without proof.
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  fork 5: search terminated without proof.
% 0.19/0.57  
% 0.19/0.57  **** run 17 fork 0 starts with strategy
% 0.19/0.57  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.19/0.58  
% 0.19/0.58  **** run 23 fork 6 starts with strategy
% 0.19/0.58  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.19/0.58  
% 0.19/0.58  **** run 22 fork 5 starts with strategy
% 0.19/0.58  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.19/0.59  
% 0.19/0.59  **** run 24 fork 7 starts with strategy
% 0.19/0.59  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.19/0.63  
% 0.19/0.63  
% 0.19/0.63  fork 2: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  **** run 19 fork 2 starts with strategy
% 0.19/0.65  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.67  
% 0.19/0.67  
% 0.19/0.67  fork 1: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  fork 0: search finished without proof.
% 0.19/0.70  
% 0.19/0.70  **** run 26 fork 1 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.19/0.70  
% 0.19/0.70  **** run 25 fork 0 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  fork 6: search terminated without proof.
% 0.19/0.72  
% 0.19/0.72  fork 5: search finished without proof.
% 0.19/0.72  
% 0.19/0.72  
% 0.19/0.72  fork 7: search terminated without proof.
% 0.19/0.74  
% 0.19/0.74  **** run 31 fork 6 starts with strategy
% 0.19/0.74  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.37/0.74  
% 2.37/0.74  **** run 30 fork 5 starts with strategy
% 2.37/0.74  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 2.37/0.74  
% 2.37/0.74  **** run 32 fork 7 starts with strategy
% 2.37/0.74  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 2.70/0.83  
% 2.70/0.83  
% 2.70/0.83  fork 1: search terminated without proof.
% 2.70/0.85  
% 2.70/0.85  **** run 34 fork 1 starts with strategy
% 2.70/0.85  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 2.70/0.86  
% 2.70/0.86  
% 2.70/0.86  fork 6: search terminated without proof.
% 2.70/0.86  
% 2.70/0.86  fork 7: search finished without proof.
% 2.70/0.86  
% 2.70/0.86  
% 2.70/0.86  fork 5: search terminated without proof.
% 3.04/0.88  
% 3.04/0.88  **** run 40 fork 7 starts with strategy
% 3.04/0.88  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 3.04/0.88  
% 3.04/0.88  **** run 39 fork 6 starts with strategy
% 3.04/0.88  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.04/0.88  
% 3.04/0.88  **** run 38 fork 5 starts with strategy
% 3.04/0.88  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.17/0.93  
% 3.17/0.93  
% 3.17/0.93  result: proof found
% 3.17/0.93  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.17/0.93  by run 19 fork 2 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 3.17/0.93  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.17/0.93  
% 3.17/0.93  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 3.29/0.93  
% 3.29/0.93  run 19 fork 2 statistics:
% 3.29/0.93  ----------------------------------
% 3.29/0.93  this run seconds: 0.073889
% 3.29/0.93  total seconds: 0.372793
% 3.29/0.93  stat_given_used: 159
% 3.29/0.93  stat_given_used_at_endgame: 0
% 3.29/0.93  stat_given_candidates:   1892
% 3.29/0.93  stat_given_candidates_at_endgame: 0
% 3.29/0.93  stat_given_candidates_h: 0
% 3.29/0.93  stat_binres_derived_cl:   9
% 3.29/0.93  stat_binres_derived_cl_h: 0
% 3.29/0.93  stat_factor_derived_cl: 0
% 3.29/0.93  stat_para_derived_cl: 13221
% 3.29/0.93  stat_tautologies_discarded: 0
% 3.29/0.93  stat_forward_subsumed: 3303
% 3.29/0.93  stat_derived_cut: 35
% 3.29/0.93  stat_derived_rewritten: 79
% 3.29/0.93  stat_weight_discarded_building: 0
% 3.29/0.93  stat_weight_discarded_cl: 973
% 3.29/0.93  stat_internlimit_discarded_cl: 0
% 3.29/0.93  stat_simplified:  79 simplified 0 derived 0 given
% 3.29/0.93  stat_kept_cl: 8526
% 3.29/0.93  stat_built_cl: 9896
% 3.29/0.93  stat_hyperres_partial_cl: 0
% 3.29/0.93  stat_made_rewriters: 135
% 3.29/0.93  stat_backward_subsumed: 0
% 3.29/0.93  stat_propagated_subsumed: 0
% 3.29/0.93  stat_clsubs_attempted:                      1304
% 3.29/0.93  stat_clsubs_fact_groundunit_found:             0
% 3.29/0.93  stat_clsubs_rule_groundunit_found:            16
% 3.29/0.93  stat_clsubs_top_meta_attempted:              15029
% 3.29/0.93  stat_clsubs_top_meta_failed:                 13725
% 3.29/0.93  stat_clsubs_top_meta_nonpref_attempted:               15029
% 3.29/0.93  stat_clsubs_top_meta_nonpref_succeeded:                4819
% 3.29/0.93  stat_clsubs_top_meta_pref_attempted:                   4819
% 3.29/0.93  stat_clsubs_top_meta_pref1_succeeded:                  4004
% 3.29/0.93  stat_clsubs_top_meta_pref2_succeeded:                  2038
% 3.29/0.93  stat_clsubs_top_meta_pref3_succeeded:                  1304
% 3.29/0.93  stat_clsubs_top_meta_pref_succeeded:                   1304
% 3.29/0.93  stat_clsubs_meta_attempted:                 1341
% 3.29/0.93  stat_clsubs_meta_failed:                      82
% 3.29/0.93  stat_clsubs_predsymbs_attempted:               0
% 3.29/0.93  stat_clsubs_unit_attempted:                 1282
% 3.29/0.93  stat_clsubs_full_attempted:                   22
% 3.29/0.93  stat_forwardsubs_attempted:                12803
% 3.29/0.93  stat_lit_hash_added:                   8584
% 3.29/0.93  stat_lit_hash_computed:               22081
% 3.29/0.93  stat_lit_hash_match_found:             3455
% 3.29/0.93  stat_lit_hash_match_miss:             19805
% 3.29/0.93  stat_lit_hash_cut_ok:                    22
% 3.29/0.93  stat_lit_strong_cut_ok:                  37
% 3.29/0.93  stat_lit_hash_subsume_ok:              3303
% 3.29/0.93  clqueue els 10000000 used 1
% 3.29/0.93  clactive els 10000000 used 160
% 3.29/0.93  clactivesubsume els 10000000 used 847
% 3.29/0.93  queue_termbuf els 200000000 used 582772
% 3.29/0.93  hyper_termbuf els 100000000 used 1
% 3.29/0.93  active_termbuf els 100000000 used 6733
% 3.29/0.93  varstack els 5000 last used 1
% 3.29/0.93  given_termbuf els 10000000 last used 1
% 3.29/0.93  simplified_termbuf els 10000000 last used 1
% 3.29/0.93  derived_termbuf els 10000000 last used 51
% 3.29/0.93  wr_mallocs: 33200
% 3.29/0.93  wr_callocs: 21
% 3.29/0.93  wr_reallocs: 1153
% 3.29/0.93  wr_frees: 2
% 3.29/0.93  wr_malloc_bytes: 4163761268
% 3.29/0.93  wr_calloc_bytes: 112065536
% 3.29/0.93  wr_realloc_bytes: 262152
% 3.29/0.93  wr_realloc_freebytes: 0
% 3.29/0.93  ----------------------------------
%------------------------------------------------------------------------------