TSTP Solution File: GRP488-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n004.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 00:54:26 EDT 2023

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named inverse)

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

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

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

cnf('4',plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(paramodulation,[],['1','3']) ).

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

cnf('6',plain,
    double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) = Z,
    inference(simplify,[then_simplify],['5','1','1','3']) ).

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

cnf('8',plain,
    identity = double_divide(X,inverse(X)),
    inference(cnf_transformation,[],[identity]) ).

cnf('9',plain,
    multiply(inverse(X),X) = inverse(identity),
    inference(paramodulation,[],['8','3']) ).

cnf('10',plain,
    double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(Y))))) = identity,
    inference(paramodulation,[],['1','6']) ).

cnf('11',plain,
    double_divide(X3,multiply(inverse(X3),double_divide(identity,identity))) = identity,
    inference(paramodulation,[],['8','10']) ).

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

cnf('13',plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(paramodulation,[],['9','12']) ).

cnf('14',plain,
    double_divide(identity,multiply(identity,double_divide(identity,identity))) = identity,
    inference(paramodulation,[],['13','10']) ).

cnf('15',plain,
    double_divide(identity,inverse(inverse(inverse(identity)))) = identity,
    inference(simplify,[then_simplify],['14','1','4']) ).

cnf('16',plain,
    double_divide(X3,multiply(Y3,double_divide(identity,double_divide(inverse(X3),identity)))) = inverse(Y3),
    inference(paramodulation,[],['8','6']) ).

cnf('17',plain,
    double_divide(X,multiply(Y,double_divide(identity,inverse(inverse(X))))) = inverse(Y),
    inference(simplify,[],['16','1']) ).

cnf('18',plain,
    double_divide(inverse(identity),multiply(X,identity)) = inverse(X),
    inference(paramodulation,[],['15','17']) ).

cnf('19',plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(paramodulation,[],['9','18']) ).

cnf('20',plain,
    identity = inverse(inverse(identity)),
    inference(simplify,[],['19','13']) ).

cnf('21',plain,
    multiply(multiply(X,identity),inverse(identity)) = inverse(inverse(X)),
    inference(paramodulation,[],['18','3']) ).

cnf('22',plain,
    multiply(multiply(identity,identity),inverse(identity)) = identity,
    inference(paramodulation,[],['20','21']) ).

cnf('23',plain,
    inverse(identity) = identity,
    inference(simplify,[then_simplify],['22','4','20','4','20']) ).

cnf('24',plain,
    identity = double_divide(double_divide(X,Y),multiply(Y,X)),
    inference(paramodulation,[],['3','8']) ).

cnf('25',plain,
    multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity),
    inference(paramodulation,[],['24','3']) ).

cnf('26',plain,
    double_divide(X,inverse(identity)) = inverse(multiply(inverse(inverse(X)),identity)),
    inference(paramodulation,[],['25','17']) ).

cnf('27',plain,
    double_divide(X3,identity) = inverse(multiply(inverse(inverse(X3)),identity)),
    inference(paramodulation,[],['23','26']) ).

cnf('28',plain,
    multiply(multiply(X,identity),identity) = inverse(inverse(X)),
    inference(paramodulation,[],['23','21']) ).

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

cnf('30',plain,
    inverse(X) = inverse(inverse(inverse(multiply(X,identity)))),
    inference(simplify,[then_simplify],['27','1','29']) ).

cnf('31',plain,
    identity = double_divide(inverse(inverse(multiply(X,identity))),inverse(X)),
    inference(paramodulation,[],['30','8']) ).

cnf('32',plain,
    double_divide(inverse(multiply(X3,identity)),multiply(X3,double_divide(identity,identity))) = identity,
    inference(paramodulation,[],['31','10']) ).

cnf('33',plain,
    double_divide(inverse(multiply(X,identity)),multiply(X,identity)) = identity,
    inference(simplify,[then_simplify],['32','1','23']) ).

cnf('34',plain,
    multiply(multiply(X3,identity),inverse(multiply(X3,identity))) = inverse(identity),
    inference(paramodulation,[],['33','3']) ).

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

cnf('36',plain,
    double_divide(identity,multiply(X,identity)) = inverse(X),
    inference(paramodulation,[],['23','18']) ).

cnf('37',plain,
    double_divide(identity,inverse(inverse(X))) = inverse(multiply(X,identity)),
    inference(paramodulation,[],['28','36']) ).

cnf('38',plain,
    double_divide(X,multiply(Y,inverse(multiply(X,identity)))) = inverse(Y),
    inference(paramodulation,[],['37','17']) ).

cnf('39',plain,
    double_divide(X3,identity) = inverse(multiply(X3,identity)),
    inference(paramodulation,[],['35','38']) ).

cnf('40',plain,
    inverse(X) = inverse(multiply(X,identity)),
    inference(simplify,[],['39','1']) ).

cnf('41',plain,
    inverse(X) = inverse(inverse(inverse(X))),
    inference(paramodulation,[],['40','30']) ).

cnf('42',plain,
    inverse(double_divide(X3,Y3)) = inverse(inverse(multiply(Y3,X3))),
    inference(paramodulation,[],['3','41']) ).

cnf('43',plain,
    multiply(X,Y) = inverse(inverse(multiply(X,Y))),
    inference(simplify,[],['42','3']) ).

cnf('44',plain,
    multiply(X,identity) = inverse(inverse(X)),
    inference(paramodulation,[],['40','43']) ).

cnf('45',plain,
    double_divide(X,multiply(Y,inverse(X))) = inverse(Y),
    inference(paramodulation,[],['40','38']) ).

cnf('46',plain,
    inverse(inverse(X)) = X,
    inference(simplify,[then_simplify],['7','3','44','3','43','45','3','44']) ).

cnf('47',plain,
    multiply(identity,a2) != a2,
    inference(cnf_transformation,[],[prove_these_axioms_2]) ).

cnf('48',plain,
    inverse(inverse(a2)) != a2,
    inference(paramodulation,[],['4','47']) ).

cnf('49',plain,
    $false,
    inference(resolution,[],['46','48']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13  % Command  : gkc %s
% 0.13/0.32  % Computer : n004.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Mon Aug 28 20:27:52 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.37  
% 0.13/0.37  input clause set summed statistics:
% 0.13/0.37  ----------------------------------
% 0.13/0.37  in_clause_count:                     5
% 0.13/0.37  in_rule_clause_count:                5
% 0.13/0.37  in_fact_clause_count:                0
% 0.13/0.37  in_answer_clause_count:              0
% 0.13/0.37  in_ground_clause_count:              1
% 0.13/0.37  in_unit_clause_count:                5
% 0.13/0.37  in_horn_clause_count:                5
% 0.13/0.37  in_pos_clause_count:                 4
% 0.13/0.37  in_neg_clause_count:                 1
% 0.13/0.37  in_poseq_clause_count:               4
% 0.13/0.37  in_negeq_clause_count:               1
% 0.13/0.37  in_unitposeq_clause_count:           4
% 0.13/0.37  in_chain_clause_count:               0
% 0.13/0.37  in_min_length:             1
% 0.13/0.37  in_max_length:             1
% 0.13/0.37  in_min_depth:              2
% 0.13/0.37  in_max_depth:              7
% 0.13/0.37  in_min_size:               5
% 0.13/0.37  in_max_size:              17
% 0.13/0.37  in_min_vars:               0
% 0.13/0.37  in_max_vars:               3
% 0.13/0.37  in_extaxiom_count:                 0
% 0.13/0.37  in_axiom_count:                    4
% 0.13/0.37  in_assumption_count:               0
% 0.13/0.37  in_goal_count:                     1
% 0.13/0.37  in_neg_goal_count:                 1
% 0.13/0.37  in_pos_goal_count:                 0
% 0.13/0.37  in_posunit_goal_count:             0
% 0.13/0.37  
% 0.13/0.37  auto guide:
% 0.13/0.37  -----------
% 0.13/0.37  {
% 0.13/0.37  "print":1,
% 0.13/0.37  "print_level": 15,
% 0.13/0.37  "max_size": 0,
% 0.13/0.37  "max_depth": 0,
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% 0.13/0.37  "runs":[
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% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"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},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"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},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.13/0.37  {"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},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"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},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.13/0.37  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.13/0.37  
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.37  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.13/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.13/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.13/0.38  
% 0.13/0.38  ]}
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  **** run 1 fork 0 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.13/0.38  
% 0.13/0.38  **** run 2 fork 1 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 3 fork 2 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.13/0.38  
% 0.13/0.38  **** run 4 fork 3 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.13/0.38  
% 0.13/0.38  **** run 5 fork 4 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.13/0.38  
% 0.13/0.38  **** run 6 fork 5 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.13/0.38  
% 0.13/0.38  **** run 7 fork 6 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.18/0.38  
% 0.18/0.38  **** run 8 fork 7 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  result: proof found
% 0.18/0.48  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.48  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.18/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.48  
% 0.18/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.18/0.48  
% 0.18/0.48  run 5 fork 4 statistics:
% 0.18/0.48  ----------------------------------
% 0.18/0.48  this run seconds: 0.071736
% 0.18/0.48  total seconds: 0.101483
% 0.18/0.48  stat_given_used: 109
% 0.18/0.48  stat_given_used_at_endgame: 0
% 0.18/0.48  stat_given_candidates:   756
% 0.18/0.48  stat_given_candidates_at_endgame: 0
% 0.18/0.48  stat_given_candidates_h: 0
% 0.18/0.48  stat_binres_derived_cl:   1
% 0.18/0.48  stat_binres_derived_cl_h: 0
% 0.18/0.48  stat_factor_derived_cl: 0
% 0.18/0.48  stat_para_derived_cl: 7179
% 0.18/0.48  stat_tautologies_discarded: 0
% 0.18/0.48  stat_forward_subsumed: 395
% 0.18/0.48  stat_derived_cut: 0
% 0.18/0.48  stat_derived_rewritten: 24
% 0.18/0.48  stat_weight_discarded_building: 0
% 0.18/0.48  stat_weight_discarded_cl: 1912
% 0.18/0.48  stat_internlimit_discarded_cl: 0
% 0.18/0.48  stat_simplified:  24 simplified 0 derived 0 given
% 0.18/0.48  stat_kept_cl: 4639
% 0.18/0.48  stat_built_cl: 6793
% 0.18/0.48  stat_hyperres_partial_cl: 0
% 0.18/0.48  stat_made_rewriters: 106
% 0.18/0.48  stat_backward_subsumed: 0
% 0.18/0.48  stat_propagated_subsumed: 0
% 0.18/0.48  stat_clsubs_attempted:                       425
% 0.18/0.48  stat_clsubs_fact_groundunit_found:             0
% 0.18/0.48  stat_clsubs_rule_groundunit_found:             1
% 0.18/0.48  stat_clsubs_top_meta_attempted:               5263
% 0.18/0.48  stat_clsubs_top_meta_failed:                  4838
% 0.18/0.48  stat_clsubs_top_meta_nonpref_attempted:                5263
% 0.18/0.48  stat_clsubs_top_meta_nonpref_succeeded:                2130
% 0.18/0.48  stat_clsubs_top_meta_pref_attempted:                   2130
% 0.18/0.48  stat_clsubs_top_meta_pref1_succeeded:                  2130
% 0.18/0.48  stat_clsubs_top_meta_pref2_succeeded:                   781
% 0.18/0.48  stat_clsubs_top_meta_pref3_succeeded:                   425
% 0.18/0.48  stat_clsubs_top_meta_pref_succeeded:                    425
% 0.18/0.48  stat_clsubs_meta_attempted:                  425
% 0.18/0.48  stat_clsubs_meta_failed:                      31
% 0.18/0.48  stat_clsubs_predsymbs_attempted:               0
% 0.18/0.48  stat_clsubs_unit_attempted:                  425
% 0.18/0.48  stat_clsubs_full_attempted:                    0
% 0.18/0.48  stat_forwardsubs_attempted:                 6946
% 0.18/0.48  stat_lit_hash_added:                   4651
% 0.18/0.48  stat_lit_hash_computed:               11720
% 0.18/0.48  stat_lit_hash_match_found:              401
% 0.18/0.48  stat_lit_hash_match_miss:             13243
% 0.18/0.48  stat_lit_hash_cut_ok:                     0
% 0.18/0.48  stat_lit_strong_cut_ok:                   0
% 0.18/0.48  stat_lit_hash_subsume_ok:               395
% 0.18/0.48  clqueue els 10000000 used 1
% 0.18/0.48  clactive els 10000000 used 110
% 0.18/0.48  clactivesubsume els 10000000 used 613
% 0.18/0.48  queue_termbuf els 200000000 used 352375
% 0.18/0.48  hyper_termbuf els 100000000 used 1
% 0.18/0.48  active_termbuf els 100000000 used 4918
% 0.18/0.48  varstack els 5000 last used 1
% 0.18/0.48  given_termbuf els 10000000 last used 26
% 0.18/0.48  simplified_termbuf els 10000000 last used 1
% 0.18/0.48  derived_termbuf els 10000000 last used 3
% 0.18/0.48  wr_mallocs: 19396
% 0.18/0.48  wr_callocs: 21
% 0.18/0.48  wr_reallocs: 627
% 0.18/0.48  wr_frees: 2
% 0.18/0.48  wr_malloc_bytes: 4163270468
% 0.18/0.48  wr_calloc_bytes: 112065536
% 0.18/0.48  wr_realloc_bytes: 119912
% 0.18/0.48  wr_realloc_freebytes: 0
% 0.18/0.48  ----------------------------------
%------------------------------------------------------------------------------