TSTP Solution File: GRP567-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n012.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 00:54:47 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,
    identity = double_divide(double_divide(X,Y),multiply(Y,X)),
    inference(paramodulation,[],['3','4']) ).

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

cnf('7',plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) = Y,
    inference(simplify,[],['6','2']) ).

cnf('8',plain,
    double_divide(double_divide(double_divide(X3,Y3),double_divide(double_divide(Z3,identity),double_divide(identity,multiply(Y3,X3)))),inverse(identity)) = Z3,
    inference(paramodulation,[],['5','7']) ).

cnf('9',plain,
    double_divide(double_divide(X3,double_divide(double_divide(Y3,identity),double_divide(identity,inverse(X3)))),inverse(identity)) = Y3,
    inference(paramodulation,[],['4','7']) ).

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

cnf('11',plain,
    double_divide(double_divide(identity,double_divide(inverse(X3),identity)),inverse(identity)) = X3,
    inference(paramodulation,[],['4','10']) ).

cnf('12',plain,
    double_divide(double_divide(identity,inverse(inverse(X))),inverse(identity)) = X,
    inference(simplify,[],['11','2']) ).

cnf('13',plain,
    double_divide(double_divide(X3,double_divide(double_divide(Y3,inverse(X3)),double_divide(identity,identity))),inverse(identity)) = Y3,
    inference(paramodulation,[],['2','7']) ).

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

cnf('15',plain,
    double_divide(double_divide(inverse(X),X),inverse(identity)) = identity,
    inference(paramodulation,[],['12','14']) ).

cnf('16',plain,
    double_divide(double_divide(X3,identity),inverse(identity)) = inverse(inverse(X3)),
    inference(paramodulation,[],['15','14']) ).

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

cnf('18',plain,
    double_divide(inverse(inverse(identity)),inverse(identity)) = identity,
    inference(paramodulation,[],['2','15']) ).

cnf('19',plain,
    inverse(inverse(inverse(identity))) = identity,
    inference(paramodulation,[],['17','18']) ).

cnf('20',plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
    inference(paramodulation,[],['19','12']) ).

cnf('21',plain,
    inverse(inverse(identity)) = inverse(identity),
    inference(simplify,[then_simplify],['20','2','17']) ).

cnf('22',plain,
    inverse(inverse(identity)) = identity,
    inference(paramodulation,[],['21','19']) ).

cnf('23',plain,
    inverse(identity) = identity,
    inference(simplify,[],['22','21']) ).

cnf('24',plain,
    double_divide(double_divide(identity,inverse(inverse(X3))),identity) = X3,
    inference(paramodulation,[],['23','12']) ).

cnf('25',plain,
    multiply(inverse(inverse(X)),identity) = X,
    inference(simplify,[then_simplify],['24','2','3']) ).

cnf('26',plain,
    multiply(inverse(multiply(X,Y)),identity) = double_divide(Y,X),
    inference(paramodulation,[],['3','25']) ).

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

cnf('28',plain,
    double_divide(multiply(inverse(X3),identity),inverse(identity)) = X3,
    inference(paramodulation,[],['27','12']) ).

cnf('29',plain,
    inverse(multiply(inverse(X),identity)) = X,
    inference(simplify,[then_simplify],['28','23','2']) ).

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

cnf('31',plain,
    inverse(inverse(multiply(X,identity))) = X,
    inference(paramodulation,[],['30','29']) ).

cnf('32',plain,
    double_divide(double_divide(inverse(X3),X3),identity) = identity,
    inference(paramodulation,[],['23','15']) ).

cnf('33',plain,
    multiply(X,inverse(X)) = identity,
    inference(simplify,[then_simplify],['32','2','3']) ).

cnf('34',plain,
    multiply(inverse(identity),identity) = double_divide(inverse(X3),X3),
    inference(paramodulation,[],['33','26']) ).

cnf('35',plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(paramodulation,[],['2','3']) ).

cnf('36',plain,
    identity = double_divide(inverse(X),X),
    inference(simplify,[then_simplify],['34','23','35','23','23']) ).

cnf('37',plain,
    identity = double_divide(multiply(X,Y),double_divide(Y,X)),
    inference(paramodulation,[],['3','36']) ).

cnf('38',plain,
    identity = double_divide(X,double_divide(identity,inverse(inverse(X)))),
    inference(paramodulation,[],['25','37']) ).

cnf('39',plain,
    double_divide(double_divide(inverse(inverse(X3)),identity),inverse(identity)) = X3,
    inference(paramodulation,[],['38','10']) ).

cnf('40',plain,
    inverse(inverse(inverse(inverse(X)))) = X,
    inference(simplify,[then_simplify],['39','2','23','2']) ).

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

cnf('42',plain,
    inverse(X) = double_divide(identity,X),
    inference(paramodulation,[],['31','41']) ).

cnf('43',plain,
    multiply(double_divide(double_divide(X,double_divide(Y,Z)),double_divide(identity,Z)),Y) = X,
    inference(simplify,[then_simplify],['6','2','23','2','3']) ).

cnf('44',plain,
    multiply(double_divide(identity,double_divide(identity,X)),Y) = multiply(X,Y),
    inference(paramodulation,[],['37','43']) ).

cnf('45',plain,
    multiply(inverse(double_divide(identity,X3)),Y3) = multiply(X3,Y3),
    inference(paramodulation,[],['42','44']) ).

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

cnf('47',plain,
    multiply(X3,identity) = X3,
    inference(paramodulation,[],['46','25']) ).

cnf('48',plain,
    multiply(X,identity) = inverse(inverse(X)),
    inference(paramodulation,[],['40','25']) ).

cnf('49',plain,
    inverse(inverse(X)) = X,
    inference(simplify,[],['47','48']) ).

cnf('50',plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(paramodulation,[],['49','41']) ).

cnf('51',plain,
    multiply(inverse(identity),double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),double_divide(identity,Z3)))) = inverse(Y3),
    inference(paramodulation,[],['7','3']) ).

cnf('52',plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = inverse(Y),
    inference(simplify,[then_simplify],['51','23','42','35','3','50']) ).

cnf('53',plain,
    double_divide(double_divide(double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),double_divide(identity,Z3))),double_divide(double_divide(U3,Y3),double_divide(identity,inverse(identity)))),inverse(identity)) = U3,
    inference(paramodulation,[],['7','7']) ).

cnf('54',plain,
    multiply(multiply(X,Y),double_divide(Z,double_divide(double_divide(X,double_divide(Z,U)),inverse(U)))) = Y,
    inference(simplify,[then_simplify],['53','42','23','42','23','2','3','23','2','3']) ).

cnf('55',plain,
    multiply(multiply(X,Y),inverse(X)) = Y,
    inference(paramodulation,[],['52','54']) ).

cnf('56',plain,
    multiply(X3,inverse(multiply(Y3,X3))) = inverse(Y3),
    inference(paramodulation,[],['55','55']) ).

cnf('57',plain,
    multiply(X,double_divide(X,Y)) = inverse(Y),
    inference(simplify,[],['56','50']) ).

cnf('58',plain,
    multiply(multiply(inverse(X),Y),X) = Y,
    inference(paramodulation,[],['49','55']) ).

cnf('59',plain,
    multiply(inverse(X),Y) = double_divide(inverse(Y),X),
    inference(paramodulation,[],['57','58']) ).

cnf('60',plain,
    multiply(multiply(multiply(X,Y),Z),double_divide(Y,X)) = Z,
    inference(simplify,[then_simplify],['8','2','42','50','59','3','23','2','3']) ).

cnf('61',plain,
    inverse(inverse(X3)) = double_divide(double_divide(Y3,X3),Y3),
    inference(paramodulation,[],['57','50']) ).

cnf('62',plain,
    X = double_divide(double_divide(Y,X),Y),
    inference(simplify,[],['61','49']) ).

cnf('63',plain,
    double_divide(X3,double_divide(X3,Y3)) = inverse(inverse(Y3)),
    inference(paramodulation,[],['62','52']) ).

cnf('64',plain,
    double_divide(X,double_divide(X,Y)) = Y,
    inference(simplify,[],['63','49']) ).

cnf('65',plain,
    multiply(X3,Y3) = inverse(double_divide(X3,Y3)),
    inference(paramodulation,[],['64','57']) ).

cnf('66',plain,
    multiply(X,Y) = multiply(Y,X),
    inference(simplify,[],['65','3']) ).

cnf('67',plain,
    X = multiply(double_divide(Y,Z),multiply(multiply(Z,Y),X)),
    inference(paramodulation,[],['60','66']) ).

cnf('68',plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X),
    inference(paramodulation,[],['3','12']) ).

cnf('69',plain,
    double_divide(double_divide(identity,inverse(multiply(inverse(identity),double_divide(X3,double_divide(double_divide(Y3,double_divide(X3,Z3)),double_divide(identity,Z3)))))),inverse(identity)) = Y3,
    inference(paramodulation,[],['7','68']) ).

cnf('70',plain,
    multiply(inverse(X),inverse(Y)) = double_divide(Y,X),
    inference(paramodulation,[],['57','55']) ).

cnf('71',plain,
    double_divide(X,inverse(Y)) = multiply(Y,inverse(X)),
    inference(paramodulation,[],['70','46']) ).

cnf('72',plain,
    multiply(multiply(X,multiply(double_divide(Y,X),Z)),Y) = Z,
    inference(simplify,[then_simplify],['69','23','42','71','3','35','3','50','3','42','50','23','2','3']) ).

cnf('73',plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(cnf_transformation,[],[prove_these_axioms_3]) ).

cnf('74',plain,
    multiply(multiply(b3,a3),c3) != multiply(a3,multiply(b3,c3)),
    inference(paramodulation,[],['66','73']) ).

cnf('75',plain,
    multiply(multiply(b3,a3),c3) != multiply(multiply(b3,c3),a3),
    inference(paramodulation,[],['66','74']) ).

cnf('76',plain,
    $false,
    inference(paramodulation,[then_simplify],['67','72','75']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14  % Command  : gkc %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 22:10:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                     5
% 0.20/0.39  in_rule_clause_count:                5
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              1
% 0.20/0.39  in_unit_clause_count:                5
% 0.20/0.39  in_horn_clause_count:                5
% 0.20/0.39  in_pos_clause_count:                 4
% 0.20/0.39  in_neg_clause_count:                 1
% 0.20/0.39  in_poseq_clause_count:               4
% 0.20/0.39  in_negeq_clause_count:               1
% 0.20/0.39  in_unitposeq_clause_count:           4
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             1
% 0.20/0.39  in_min_depth:              2
% 0.20/0.39  in_max_depth:              6
% 0.20/0.39  in_min_size:               6
% 0.20/0.39  in_max_size:              17
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               3
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                    4
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
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% 0.20/0.39  {"max_dseconds": 250, "strategy":["query_focus"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["query_focus"], "query_preference": 2},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.20/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.20/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 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 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 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
% 0.20/0.49  
% 0.20/0.49  run 6 fork 5 statistics:
% 0.20/0.49  ----------------------------------
% 0.20/0.49  this run seconds: 0.066009
% 0.20/0.49  total seconds: 0.088507
% 0.20/0.49  stat_given_used: 124
% 0.20/0.49  stat_given_used_at_endgame: 0
% 0.20/0.49  stat_given_candidates:   1313
% 0.20/0.49  stat_given_candidates_at_endgame: 0
% 0.20/0.49  stat_given_candidates_h: 0
% 0.20/0.49  stat_binres_derived_cl:   0
% 0.20/0.49  stat_binres_derived_cl_h: 0
% 0.20/0.49  stat_factor_derived_cl: 0
% 0.20/0.49  stat_para_derived_cl: 6963
% 0.20/0.49  stat_tautologies_discarded: 0
% 0.20/0.49  stat_forward_subsumed: 1949
% 0.20/0.49  stat_derived_cut: 1
% 0.20/0.49  stat_derived_rewritten: 44
% 0.20/0.49  stat_weight_discarded_building: 0
% 0.20/0.49  stat_weight_discarded_cl: 559
% 0.20/0.49  stat_internlimit_discarded_cl: 0
% 0.20/0.49  stat_simplified:  44 simplified 0 derived 0 given
% 0.20/0.49  stat_kept_cl: 4127
% 0.20/0.49  stat_built_cl: 4978
% 0.20/0.49  stat_hyperres_partial_cl: 0
% 0.20/0.49  stat_made_rewriters: 106
% 0.20/0.49  stat_backward_subsumed: 0
% 0.20/0.49  stat_propagated_subsumed: 0
% 0.20/0.49  stat_clsubs_attempted:                       590
% 0.20/0.49  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.49  stat_clsubs_rule_groundunit_found:            16
% 0.20/0.49  stat_clsubs_top_meta_attempted:               7728
% 0.20/0.49  stat_clsubs_top_meta_failed:                  7138
% 0.20/0.49  stat_clsubs_top_meta_nonpref_attempted:                7728
% 0.20/0.49  stat_clsubs_top_meta_nonpref_succeeded:                2172
% 0.20/0.49  stat_clsubs_top_meta_pref_attempted:                   2172
% 0.20/0.49  stat_clsubs_top_meta_pref1_succeeded:                  1692
% 0.20/0.49  stat_clsubs_top_meta_pref2_succeeded:                   819
% 0.20/0.49  stat_clsubs_top_meta_pref3_succeeded:                   590
% 0.20/0.49  stat_clsubs_top_meta_pref_succeeded:                    590
% 0.20/0.49  stat_clsubs_meta_attempted:                  590
% 0.20/0.49  stat_clsubs_meta_failed:                      29
% 0.20/0.49  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.49  stat_clsubs_unit_attempted:                  590
% 0.20/0.49  stat_clsubs_full_attempted:                    0
% 0.20/0.49  stat_forwardsubs_attempted:                 6636
% 0.20/0.49  stat_lit_hash_added:                   4153
% 0.20/0.49  stat_lit_hash_computed:               11003
% 0.20/0.49  stat_lit_hash_match_found:             1988
% 0.20/0.49  stat_lit_hash_match_miss:              9593
% 0.20/0.49  stat_lit_hash_cut_ok:                     0
% 0.20/0.49  stat_lit_strong_cut_ok:                   1
% 0.20/0.49  stat_lit_hash_subsume_ok:              1949
% 0.20/0.49  clqueue els 10000000 used 1
% 0.20/0.49  clactive els 10000000 used 125
% 0.20/0.49  clactivesubsume els 10000000 used 619
% 0.20/0.49  queue_termbuf els 200000000 used 258770
% 0.20/0.49  hyper_termbuf els 100000000 used 1
% 0.20/0.49  active_termbuf els 100000000 used 4679
% 0.20/0.49  varstack els 5000 last used 1
% 0.20/0.49  given_termbuf els 10000000 last used 1
% 0.20/0.49  simplified_termbuf els 10000000 last used 1
% 0.20/0.49  derived_termbuf els 10000000 last used 10
% 0.20/0.49  wr_mallocs: 16115
% 0.20/0.49  wr_callocs: 21
% 0.20/0.49  wr_reallocs: 622
% 0.20/0.49  wr_frees: 2
% 0.20/0.49  wr_malloc_bytes: 4163151124
% 0.20/0.49  wr_calloc_bytes: 112065536
% 0.20/0.49  wr_realloc_bytes: 135288
% 0.20/0.49  wr_realloc_freebytes: 0
% 0.20/0.49  ----------------------------------
%------------------------------------------------------------------------------