TSTP Solution File: GRP080-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:52:15 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named multiply)

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

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

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

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

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

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

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

cnf('8',plain,
    identity = double_divide(double_divide(X,Y),multiply(Y,X)),
    inference(paramodulation,[],['3','4']) ).

cnf('9',plain,
    identity = inverse(identity),
    inference(paramodulation,[],['6','8']) ).

cnf('10',plain,
    double_divide(identity,multiply(double_divide(X,Y),Y)) = X,
    inference(simplify,[then_simplify],['7','2','9']) ).

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

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

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

cnf('14',plain,
    multiply(inverse(inverse(inverse(X))),identity) = inverse(X),
    inference(paramodulation,[],['13','3']) ).

cnf('15',plain,
    double_divide(identity,multiply(inverse(X),identity)) = X,
    inference(paramodulation,[],['2','10']) ).

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

cnf('17',plain,
    inverse(inverse(inverse(inverse(X)))) = X,
    inference(paramodulation,[],['16','13']) ).

cnf('18',plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(X3))),multiply(inverse(Y3),X3)) = Y3,
    inference(paramodulation,[],['2','6']) ).

cnf('19',plain,
    double_divide(identity,X) = inverse(X),
    inference(paramodulation,[],['17','13']) ).

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

cnf('21',plain,
    double_divide(X,multiply(inverse(Y),inverse(X))) = Y,
    inference(paramodulation,[],['17','20']) ).

cnf('22',plain,
    double_divide(X3,multiply(identity,inverse(X3))) = identity,
    inference(paramodulation,[],['9','21']) ).

cnf('23',plain,
    double_divide(X,inverse(inverse(inverse(X)))) = identity,
    inference(simplify,[],['22','12']) ).

cnf('24',plain,
    double_divide(inverse(X),X) = identity,
    inference(paramodulation,[],['17','23']) ).

cnf('25',plain,
    inverse(multiply(double_divide(X,Y),Y)) = X,
    inference(paramodulation,[],['19','10']) ).

cnf('26',plain,
    inverse(inverse(inverse(multiply(X,Y)))) = double_divide(Y,X),
    inference(paramodulation,[],['3','17']) ).

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

cnf('28',plain,
    inverse(multiply(inverse(inverse(X)),double_divide(X,Y))) = Y,
    inference(paramodulation,[],['27','25']) ).

cnf('29',plain,
    inverse(multiply(X,double_divide(inverse(inverse(X)),Y))) = Y,
    inference(paramodulation,[],['17','28']) ).

cnf('30',plain,
    inverse(multiply(X3,identity)) = inverse(X3),
    inference(paramodulation,[],['24','29']) ).

cnf('31',plain,
    multiply(X,identity) = inverse(inverse(X)),
    inference(paramodulation,[],['17','14']) ).

cnf('32',plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(simplify,[],['30','31']) ).

cnf('33',plain,
    inverse(inverse(X)) = X,
    inference(paramodulation,[],['32','17']) ).

cnf('34',plain,
    double_divide(double_divide(identity,double_divide(inverse(X3),inverse(Y3))),multiply(identity,Y3)) = X3,
    inference(paramodulation,[],['4','6']) ).

cnf('35',plain,
    double_divide(multiply(inverse(X),inverse(Y)),inverse(inverse(X))) = Y,
    inference(simplify,[then_simplify],['34','19','3','12']) ).

cnf('36',plain,
    double_divide(multiply(inverse(X),inverse(Y)),X) = Y,
    inference(paramodulation,[],['33','35']) ).

cnf('37',plain,
    double_divide(multiply(X3,inverse(Y3)),inverse(X3)) = Y3,
    inference(paramodulation,[],['33','36']) ).

cnf('38',plain,
    double_divide(inverse(X),multiply(inverse(Y),X)) = Y,
    inference(paramodulation,[],['32','20']) ).

cnf('39',plain,
    inverse(multiply(X3,double_divide(X3,Y3))) = Y3,
    inference(paramodulation,[],['33','29']) ).

cnf('40',plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(paramodulation,[],['32','26']) ).

cnf('41',plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference(simplify,[],['39','40']) ).

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

cnf('43',plain,
    double_divide(X,multiply(Y,inverse(X))) = inverse(Y),
    inference(paramodulation,[],['33','21']) ).

cnf('44',plain,
    double_divide(inverse(X),Y) = multiply(X,inverse(Y)),
    inference(paramodulation,[],['43','41']) ).

cnf('45',plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference(simplify,[then_simplify],['37','42','40','44']) ).

cnf('46',plain,
    multiply(multiply(X,multiply(Y,Z)),double_divide(Z,Y)) = X,
    inference(paramodulation,[],['3','45']) ).

cnf('47',plain,
    multiply(X3,inverse(multiply(inverse(Y3),X3))) = Y3,
    inference(paramodulation,[],['44','38']) ).

cnf('48',plain,
    multiply(X,multiply(inverse(X),Y)) = Y,
    inference(simplify,[then_simplify],['47','40','42']) ).

cnf('49',plain,
    multiply(inverse(X),multiply(X,Y)) = Y,
    inference(paramodulation,[],['33','48']) ).

cnf('50',plain,
    double_divide(inverse(double_divide(X3,inverse(Y3))),multiply(double_divide(Z3,X3),Y3)) = Z3,
    inference(paramodulation,[],['19','6']) ).

cnf('51',plain,
    double_divide(multiply(inverse(X),Y),multiply(double_divide(Z,Y),X)) = Z,
    inference(simplify,[then_simplify],['50','42','40','42']) ).

cnf('52',plain,
    double_divide(X,multiply(double_divide(Y,multiply(Z,X)),Z)) = Y,
    inference(paramodulation,[],['49','51']) ).

cnf('53',plain,
    double_divide(X,Y) = multiply(double_divide(X,multiply(Z,Y)),Z),
    inference(paramodulation,[],['52','41']) ).

cnf('54',plain,
    multiply(multiply(X,Y),multiply(double_divide(Y,X),Z)) = Z,
    inference(paramodulation,[],['40','48']) ).

cnf('55',plain,
    multiply(multiply(multiply(X,Y),Z),double_divide(Z,Y)) = X,
    inference(paramodulation,[],['53','54']) ).

cnf('56',plain,
    multiply(multiply(multiply(X,Y),double_divide(Y,Z)),Z) = X,
    inference(paramodulation,[],['41','55']) ).

cnf('57',plain,
    multiply(multiply(multiply(X,double_divide(Y,Z)),Z),Y) = X,
    inference(paramodulation,[],['41','56']) ).

cnf('58',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2 ),
    inference(cnf_transformation,[],[prove_these_axioms]) ).

cnf('59',plain,
    multiply(inverse(X),X) = inverse(identity),
    inference(paramodulation,[],['4','3']) ).

cnf('60',plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | inverse(inverse(a2)) != a2 ),
    inference(simplify,[then_simplify],['58','59','9','12']) ).

cnf('61',plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(resolution,[],['33','60']) ).

cnf('62',plain,
    $false,
    inference(paramodulation,[then_simplify],['46','57','61']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 21:28:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.43  
% 0.20/0.43  input clause set summed statistics:
% 0.20/0.43  ----------------------------------
% 0.20/0.43  in_clause_count:                     5
% 0.20/0.43  in_rule_clause_count:                5
% 0.20/0.43  in_fact_clause_count:                0
% 0.20/0.43  in_answer_clause_count:              0
% 0.20/0.43  in_ground_clause_count:              1
% 0.20/0.43  in_unit_clause_count:                4
% 0.20/0.43  in_horn_clause_count:                5
% 0.20/0.43  in_pos_clause_count:                 4
% 0.20/0.43  in_neg_clause_count:                 1
% 0.20/0.43  in_poseq_clause_count:               4
% 0.20/0.43  in_negeq_clause_count:               1
% 0.20/0.43  in_unitposeq_clause_count:           4
% 0.20/0.43  in_chain_clause_count:               0
% 0.20/0.43  in_min_length:             1
% 0.20/0.43  in_max_length:             3
% 0.20/0.43  in_min_depth:              2
% 0.20/0.43  in_max_depth:              5
% 0.20/0.43  in_min_size:               6
% 0.20/0.43  in_max_size:              22
% 0.20/0.43  in_min_vars:               0
% 0.20/0.43  in_max_vars:               3
% 0.20/0.43  in_extaxiom_count:                 0
% 0.20/0.43  in_axiom_count:                    4
% 0.20/0.43  in_assumption_count:               0
% 0.20/0.43  in_goal_count:                     1
% 0.20/0.43  in_neg_goal_count:                 1
% 0.20/0.43  in_pos_goal_count:                 0
% 0.20/0.43  in_posunit_goal_count:             0
% 0.20/0.43  
% 0.20/0.43  auto guide:
% 0.20/0.43  -----------
% 0.20/0.43  {
% 0.20/0.43  "print":1,
% 0.20/0.43  "print_level": 15,
% 0.20/0.43  "max_size": 0,
% 0.20/0.43  "max_depth": 0,
% 0.20/0.43  "max_length": 0,
% 0.20/0.43  "max_dseconds": 0,
% 0.20/0.43  "runs":[
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.43  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.43  {"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},
% 0.20/0.43  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
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% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.43  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.43  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.43  {"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},
% 0.20/0.43  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.20/0.43  
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.20/0.43  
% 0.20/0.43  ]}
% 0.20/0.43  
% 0.20/0.44  
% 0.20/0.44  **** run 1 fork 0 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 2 fork 1 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.44  
% 0.20/0.44  **** run 3 fork 2 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 4 fork 3 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.44  
% 0.20/0.44  **** run 5 fork 4 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 6 fork 5 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 7 fork 6 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  fork 3: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  **** run 8 fork 7 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  fork 5: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  fork 7: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  fork 6: search finished without proof.
% 0.20/0.46  
% 0.20/0.46  **** run 16 fork 7 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.47  
% 0.20/0.47  **** run 12 fork 3 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.47  
% 0.20/0.47  **** run 15 fork 6 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.47  
% 0.20/0.47  **** run 14 fork 5 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 2: search terminated without proof.
% 0.20/0.56  
% 0.20/0.56  **** run 11 fork 2 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  fork 6: search finished without proof.
% 0.20/0.58  
% 0.20/0.58  **** run 23 fork 6 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.20/0.60  
% 0.20/0.60  
% 0.20/0.60  result: proof found
% 0.20/0.60  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  
% 0.20/0.60  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.60  
% 0.20/0.60  run 12 fork 3 statistics:
% 0.20/0.60  ----------------------------------
% 0.20/0.60  this run seconds: 0.049584
% 0.20/0.60  total seconds: 0.082597
% 0.20/0.60  stat_given_used: 80
% 0.20/0.60  stat_given_used_at_endgame: 0
% 0.20/0.60  stat_given_candidates:   752
% 0.20/0.60  stat_given_candidates_at_endgame: 0
% 0.20/0.60  stat_given_candidates_h: 0
% 0.20/0.60  stat_binres_derived_cl:   1
% 0.20/0.60  stat_binres_derived_cl_h: 0
% 0.20/0.60  stat_factor_derived_cl: 0
% 0.20/0.60  stat_para_derived_cl: 4191
% 0.20/0.60  stat_tautologies_discarded: 0
% 0.20/0.60  stat_forward_subsumed: 536
% 0.20/0.60  stat_derived_cut: 4
% 0.20/0.60  stat_derived_rewritten: 27
% 0.20/0.60  stat_weight_discarded_building: 0
% 0.20/0.60  stat_weight_discarded_cl: 0
% 0.20/0.60  stat_internlimit_discarded_cl: 0
% 0.20/0.60  stat_simplified:  27 simplified 0 derived 0 given
% 0.20/0.60  stat_kept_cl: 3460
% 0.20/0.60  stat_built_cl: 3647
% 0.20/0.60  stat_hyperres_partial_cl: 0
% 0.20/0.60  stat_made_rewriters: 78
% 0.20/0.60  stat_backward_subsumed: 0
% 0.20/0.60  stat_propagated_subsumed: 0
% 0.20/0.60  stat_clsubs_attempted:                       214
% 0.20/0.60  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.60  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.60  stat_clsubs_top_meta_attempted:               3110
% 0.20/0.60  stat_clsubs_top_meta_failed:                  2896
% 0.20/0.60  stat_clsubs_top_meta_nonpref_attempted:                3110
% 0.20/0.60  stat_clsubs_top_meta_nonpref_succeeded:                1166
% 0.20/0.60  stat_clsubs_top_meta_pref_attempted:                   1166
% 0.20/0.60  stat_clsubs_top_meta_pref1_succeeded:                  1145
% 0.20/0.60  stat_clsubs_top_meta_pref2_succeeded:                   372
% 0.20/0.60  stat_clsubs_top_meta_pref3_succeeded:                   214
% 0.20/0.60  stat_clsubs_top_meta_pref_succeeded:                    214
% 0.20/0.60  stat_clsubs_meta_attempted:                  216
% 0.20/0.60  stat_clsubs_meta_failed:                       6
% 0.20/0.60  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.60  stat_clsubs_unit_attempted:                  212
% 0.20/0.60  stat_clsubs_full_attempted:                    2
% 0.20/0.60  stat_forwardsubs_attempted:                 3997
% 0.20/0.60  stat_lit_hash_added:                   3465
% 0.20/0.60  stat_lit_hash_computed:                7572
% 0.20/0.60  stat_lit_hash_match_found:              536
% 0.20/0.60  stat_lit_hash_match_miss:              7069
% 0.20/0.60  stat_lit_hash_cut_ok:                     0
% 0.20/0.60  stat_lit_strong_cut_ok:                   1
% 0.20/0.60  stat_lit_hash_subsume_ok:               536
% 0.20/0.60  clqueue els 10000000 used 1
% 0.20/0.60  clactive els 10000000 used 81
% 0.20/0.60  clactivesubsume els 10000000 used 475
% 0.20/0.60  queue_termbuf els 200000000 used 236601
% 0.20/0.60  hyper_termbuf els 100000000 used 1
% 0.20/0.60  active_termbuf els 100000000 used 3240
% 0.20/0.60  varstack els 5000 last used 1
% 0.20/0.60  given_termbuf els 10000000 last used 1
% 0.20/0.60  simplified_termbuf els 10000000 last used 1
% 0.20/0.60  derived_termbuf els 10000000 last used 10
% 0.20/0.60  wr_mallocs: 13821
% 0.20/0.60  wr_callocs: 21
% 0.20/0.60  wr_reallocs: 448
% 0.20/0.60  wr_frees: 2
% 0.20/0.60  wr_malloc_bytes: 4163070196
% 0.20/0.60  wr_calloc_bytes: 112065536
% 0.20/0.60  wr_realloc_bytes: 97744
% 0.20/0.60  wr_realloc_freebytes: 0
% 0.20/0.60  ----------------------------------
%------------------------------------------------------------------------------