TSTP Solution File: GRP100-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n013.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 00:52:21 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named single_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
    inference(cnf_transformation,[],[single_axiom]) ).

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

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

cnf('4',plain,
    multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[],[multiply]) ).

cnf('5',plain,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    inference(simplify,[],['4','2']) ).

cnf('6',plain,
    multiply(inverse(identity),double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),inverse(Z3)))) = inverse(Y3),
    inference(paramodulation,[],['3','5']) ).

cnf('7',plain,
    identity = double_divide(X,inverse(X)),
    inference(cnf_transformation,[],[identity]) ).

cnf('8',plain,
    double_divide(double_divide(X3,double_divide(double_divide(Y3,identity),inverse(inverse(X3)))),inverse(identity)) = Y3,
    inference(paramodulation,[],['7','3']) ).

cnf('9',plain,
    double_divide(double_divide(X,double_divide(inverse(Y),inverse(inverse(X)))),inverse(identity)) = Y,
    inference(simplify,[],['8','2']) ).

cnf('10',plain,
    double_divide(double_divide(X3,identity),inverse(identity)) = X3,
    inference(paramodulation,[],['7','9']) ).

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

cnf('12',plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,inverse(X)),inverse(identity))),inverse(identity)) = Y,
    inference(paramodulation,[],['2','3']) ).

cnf('13',plain,
    double_divide(double_divide(identity,double_divide(X,inverse(identity))),inverse(identity)) = inverse(X),
    inference(paramodulation,[],['11','12']) ).

cnf('14',plain,
    inverse(double_divide(X3,inverse(identity))) = X3,
    inference(paramodulation,[],['13','12']) ).

cnf('15',plain,
    multiply(inverse(identity),X) = X,
    inference(simplify,[],['14','5']) ).

cnf('16',plain,
    multiply(inverse(X),X) = inverse(identity),
    inference(paramodulation,[],['7','5']) ).

cnf('17',plain,
    identity = inverse(identity),
    inference(paramodulation,[],['15','16']) ).

cnf('18',plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(paramodulation,[],['2','5']) ).

cnf('19',plain,
    multiply(identity,X3) = X3,
    inference(paramodulation,[],['17','15']) ).

cnf('20',plain,
    inverse(inverse(X)) = X,
    inference(simplify,[],['19','18']) ).

cnf('21',plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(paramodulation,[],['5','20']) ).

cnf('22',plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = inverse(Y),
    inference(simplify,[then_simplify],['6','17','18','5','21']) ).

cnf('23',plain,
    double_divide(double_divide(double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),inverse(Z3))),double_divide(double_divide(U3,Y3),inverse(inverse(identity)))),inverse(identity)) = U3,
    inference(paramodulation,[],['3','3']) ).

cnf('24',plain,
    multiply(multiply(X,Y),double_divide(Z,double_divide(double_divide(X,double_divide(Z,U)),inverse(U)))) = Y,
    inference(simplify,[then_simplify],['23','17','17','2','5','17','2','5']) ).

cnf('25',plain,
    multiply(multiply(X,Y),inverse(X)) = Y,
    inference(paramodulation,[],['22','24']) ).

cnf('26',plain,
    multiply(double_divide(inverse(X),Y),Y) = X,
    inference(simplify,[then_simplify],['8','2','20','17','2','5']) ).

cnf('27',plain,
    multiply(double_divide(X,Y),Y) = inverse(X),
    inference(paramodulation,[],['20','26']) ).

cnf('28',plain,
    inverse(inverse(X3)) = double_divide(Y3,double_divide(X3,Y3)),
    inference(paramodulation,[],['27','21']) ).

cnf('29',plain,
    X = double_divide(Y,double_divide(X,Y)),
    inference(simplify,[],['28','20']) ).

cnf('30',plain,
    double_divide(X3,double_divide(X3,inverse(Y3))) = inverse(Y3),
    inference(paramodulation,[],['29','22']) ).

cnf('31',plain,
    inverse(X) = double_divide(inverse(Y),multiply(Y,X)),
    inference(paramodulation,[],['25','21']) ).

cnf('32',plain,
    multiply(inverse(X),multiply(Y,X)) = Y,
    inference(paramodulation,[],['31','26']) ).

cnf('33',plain,
    multiply(X,multiply(Y,inverse(X))) = Y,
    inference(paramodulation,[],['20','32']) ).

cnf('34',plain,
    multiply(X,inverse(Y)) = double_divide(Y,inverse(X)),
    inference(paramodulation,[],['27','33']) ).

cnf('35',plain,
    double_divide(X,multiply(Y,inverse(X))) = inverse(Y),
    inference(simplify,[],['30','34']) ).

cnf('36',plain,
    double_divide(X3,Y3) = inverse(multiply(X3,Y3)),
    inference(paramodulation,[],['25','35']) ).

cnf('37',plain,
    double_divide(X,Y) = double_divide(Y,X),
    inference(simplify,[],['36','21']) ).

cnf('38',plain,
    multiply(X3,inverse(multiply(Y3,X3))) = inverse(Y3),
    inference(paramodulation,[],['25','25']) ).

cnf('39',plain,
    multiply(X,double_divide(X,Y)) = inverse(Y),
    inference(simplify,[],['38','21']) ).

cnf('40',plain,
    multiply(X,double_divide(Y,X)) = inverse(Y),
    inference(paramodulation,[],['37','39']) ).

cnf('41',plain,
    inverse(double_divide(X3,Y3)) = double_divide(inverse(Y3),inverse(X3)),
    inference(paramodulation,[],['40','31']) ).

cnf('42',plain,
    multiply(X,Y) = multiply(Y,X),
    inference(simplify,[then_simplify],['41','5','34','20']) ).

cnf('43',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('44',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,[then_simplify],['43','16','18']) ).

cnf('45',plain,
    inverse(identity) = identity,
    inference(paramodulation,[],['16','15']) ).

cnf('46',plain,
    multiply(double_divide(X,Y),multiply(Z,multiply(Y,X))) = Z,
    inference(paramodulation,[],['21','32']) ).

cnf('47',plain,
    double_divide(multiply(X,Y),inverse(identity)) = double_divide(Y,X),
    inference(paramodulation,[],['5','11']) ).

cnf('48',plain,
    double_divide(multiply(inverse(identity),double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),inverse(Z3)))),inverse(identity)) = Y3,
    inference(paramodulation,[],['3','47']) ).

cnf('49',plain,
    multiply(multiply(X,multiply(double_divide(Y,X),Z)),Y) = Z,
    inference(simplify,[then_simplify],['48','17','34','5','18','5','21','17','2','5']) ).

cnf('50',plain,
    multiply(multiply(X3,Y3),Z3) = multiply(Y3,multiply(X3,Z3)),
    inference(paramodulation,[],['46','49']) ).

cnf('51',plain,
    multiply(double_divide(X3,inverse(Y3)),X3) = Y3,
    inference(paramodulation,[],['37','26']) ).

cnf('52',plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference(simplify,[],['51','34']) ).

cnf('53',plain,
    multiply(X3,Y3) = multiply(Y3,X3),
    inference(paramodulation,[],['25','52']) ).

cnf('54',plain,
    inverse(inverse(X3)) = X3,
    inference(paramodulation,[],['27','26']) ).

cnf('55',plain,
    $false,
    inference(paramodulation,[then_simplify],['42','44','45','50','53','54']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.10  % Command  : gkc %s
% 0.10/0.30  % Computer : n013.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 02:05:46 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.35  
% 0.10/0.35  input clause set summed statistics:
% 0.10/0.35  ----------------------------------
% 0.10/0.35  in_clause_count:                     5
% 0.10/0.35  in_rule_clause_count:                5
% 0.10/0.35  in_fact_clause_count:                0
% 0.10/0.35  in_answer_clause_count:              0
% 0.10/0.35  in_ground_clause_count:              1
% 0.10/0.35  in_unit_clause_count:                4
% 0.10/0.35  in_horn_clause_count:                5
% 0.10/0.35  in_pos_clause_count:                 4
% 0.10/0.35  in_neg_clause_count:                 1
% 0.10/0.35  in_poseq_clause_count:               4
% 0.10/0.35  in_negeq_clause_count:               1
% 0.10/0.35  in_unitposeq_clause_count:           4
% 0.10/0.35  in_chain_clause_count:               0
% 0.10/0.35  in_min_length:             1
% 0.10/0.35  in_max_length:             4
% 0.10/0.35  in_min_depth:              2
% 0.10/0.35  in_max_depth:              6
% 0.10/0.35  in_min_size:               6
% 0.10/0.35  in_max_size:              29
% 0.10/0.35  in_min_vars:               0
% 0.10/0.35  in_max_vars:               3
% 0.10/0.35  in_extaxiom_count:                 0
% 0.10/0.35  in_axiom_count:                    4
% 0.10/0.35  in_assumption_count:               0
% 0.10/0.35  in_goal_count:                     1
% 0.10/0.35  in_neg_goal_count:                 1
% 0.10/0.35  in_pos_goal_count:                 0
% 0.10/0.35  in_posunit_goal_count:             0
% 0.10/0.35  
% 0.10/0.35  auto guide:
% 0.10/0.35  -----------
% 0.10/0.35  {
% 0.10/0.35  "print":1,
% 0.10/0.35  "print_level": 15,
% 0.10/0.35  "max_size": 0,
% 0.10/0.35  "max_depth": 0,
% 0.10/0.35  "max_length": 0,
% 0.10/0.35  "max_dseconds": 0,
% 0.10/0.35  "runs":[
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.35  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.35  {"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":1},
% 0.10/0.35  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.35  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
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% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.35  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.10/0.35  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.10/0.35  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.10/0.35  {"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},
% 0.10/0.35  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.10/0.35  
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.10/0.35  
% 0.10/0.35  ]}
% 0.10/0.35  
% 0.10/0.35  
% 0.10/0.35  **** run 2 fork 1 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.10/0.35  
% 0.10/0.35  **** run 3 fork 2 starts with strategy
% 0.10/0.35  
% 0.10/0.35  **** run 4 fork 3 starts with strategy
% 0.10/0.35  
% 0.10/0.35  **** run 5 fork 4 starts with strategy
% 0.10/0.35  
% 0.10/0.35  **** run 6 fork 5 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}{"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 7 fork 6 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 8 fork 7 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.10/0.36  
% 0.10/0.36  **** run 1 fork 0 starts with strategy
% 0.10/0.36  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.38  
% 0.15/0.38  fork 5: search finished without proof.
% 0.15/0.38  
% 0.15/0.38  fork 3: search finished without proof.
% 0.15/0.38  
% 0.15/0.38  fork 6: search finished without proof.
% 0.15/0.39  
% 0.15/0.39  fork 7: search finished without proof.
% 0.15/0.41  
% 0.15/0.41  **** run 14 fork 5 starts with strategy
% 0.15/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.15/0.41  
% 0.15/0.41  **** run 15 fork 6 starts with strategy
% 0.15/0.41  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.15/0.41  
% 0.15/0.41  **** run 12 fork 3 starts with strategy
% 0.15/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.15/0.41  
% 0.15/0.41  **** run 16 fork 7 starts with strategy
% 0.15/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.15/0.42  
% 0.15/0.42  
% 0.15/0.42  result: proof found
% 0.15/0.42  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.42  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.42  
% 0.15/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.15/0.42  
% 0.15/0.42  run 1 fork 0 statistics:
% 0.15/0.42  ----------------------------------
% 0.15/0.42  this run seconds: 0.035749
% 0.15/0.42  total seconds: 0.058110
% 0.15/0.42  stat_given_used: 77
% 0.15/0.42  stat_given_used_at_endgame: 0
% 0.15/0.42  stat_given_candidates:   763
% 0.15/0.42  stat_given_candidates_at_endgame: 0
% 0.15/0.42  stat_given_candidates_h: 0
% 0.15/0.42  stat_binres_derived_cl:   0
% 0.15/0.42  stat_binres_derived_cl_h: 0
% 0.15/0.42  stat_factor_derived_cl: 0
% 0.15/0.42  stat_para_derived_cl: 4004
% 0.15/0.42  stat_tautologies_discarded: 0
% 0.15/0.42  stat_forward_subsumed: 1125
% 0.15/0.42  stat_derived_cut: 3
% 0.15/0.42  stat_derived_rewritten: 36
% 0.15/0.42  stat_weight_discarded_building: 0
% 0.15/0.42  stat_weight_discarded_cl: 0
% 0.15/0.42  stat_internlimit_discarded_cl: 0
% 0.15/0.42  stat_simplified:  36 simplified 0 derived 0 given
% 0.15/0.42  stat_kept_cl: 2625
% 0.15/0.42  stat_built_cl: 2815
% 0.15/0.42  stat_hyperres_partial_cl: 0
% 0.15/0.42  stat_made_rewriters: 71
% 0.15/0.42  stat_backward_subsumed: 0
% 0.15/0.42  stat_propagated_subsumed: 0
% 0.15/0.42  stat_clsubs_attempted:                       432
% 0.15/0.42  stat_clsubs_fact_groundunit_found:             0
% 0.15/0.42  stat_clsubs_rule_groundunit_found:             0
% 0.15/0.42  stat_clsubs_top_meta_attempted:               3159
% 0.15/0.42  stat_clsubs_top_meta_failed:                  2727
% 0.15/0.42  stat_clsubs_top_meta_nonpref_attempted:                3159
% 0.15/0.42  stat_clsubs_top_meta_nonpref_succeeded:                1198
% 0.15/0.42  stat_clsubs_top_meta_pref_attempted:                   1198
% 0.15/0.42  stat_clsubs_top_meta_pref1_succeeded:                  1191
% 0.15/0.42  stat_clsubs_top_meta_pref2_succeeded:                   646
% 0.15/0.42  stat_clsubs_top_meta_pref3_succeeded:                   432
% 0.15/0.42  stat_clsubs_top_meta_pref_succeeded:                    432
% 0.15/0.42  stat_clsubs_meta_attempted:                  432
% 0.15/0.42  stat_clsubs_meta_failed:                      17
% 0.15/0.42  stat_clsubs_predsymbs_attempted:               0
% 0.15/0.42  stat_clsubs_unit_attempted:                  432
% 0.15/0.42  stat_clsubs_full_attempted:                    0
% 0.15/0.42  stat_forwardsubs_attempted:                 3751
% 0.15/0.42  stat_lit_hash_added:                   2630
% 0.15/0.42  stat_lit_hash_computed:                6518
% 0.15/0.42  stat_lit_hash_match_found:             1151
% 0.15/0.42  stat_lit_hash_match_miss:              5415
% 0.15/0.42  stat_lit_hash_cut_ok:                     3
% 0.15/0.42  stat_lit_strong_cut_ok:                   7
% 0.15/0.42  stat_lit_hash_subsume_ok:              1125
% 0.15/0.42  clqueue els 10000000 used 1
% 0.15/0.42  clactive els 10000000 used 78
% 0.15/0.42  clactivesubsume els 10000000 used 457
% 0.15/0.42  queue_termbuf els 200000000 used 170435
% 0.15/0.42  hyper_termbuf els 100000000 used 1
% 0.15/0.42  active_termbuf els 100000000 used 2968
% 0.15/0.42  varstack els 5000 last used 1
% 0.15/0.42  given_termbuf els 10000000 last used 1
% 0.15/0.42  simplified_termbuf els 10000000 last used 1
% 0.15/0.42  derived_termbuf els 10000000 last used 113
% 0.15/0.42  wr_mallocs: 10381
% 0.15/0.42  wr_callocs: 21
% 0.15/0.42  wr_reallocs: 331
% 0.15/0.42  wr_frees: 2
% 0.15/0.42  wr_malloc_bytes: 4162948756
% 0.15/0.42  wr_calloc_bytes: 112065536
% 0.15/0.42  wr_realloc_bytes: 75568
% 0.15/0.42  wr_realloc_freebytes: 0
% 0.15/0.42  ----------------------------------
%------------------------------------------------------------------------------