TSTP Solution File: SYN013-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n024.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 : Fri Sep  1 02:59:22 EDT 2023

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_16)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ element(X,k)
    | X = k
    | X = n
    | X = m ),
    inference(cnf_transformation,[],[c_16]) ).

cnf('2',plain,
    ( element(g(X),X)
    | element(X,n)
    | X = n ),
    inference(cnf_transformation,[],[c_12]) ).

cnf('3',plain,
    ( g(k) = n
    | g(k) = m
    | g(k) = k
    | k = n
    | element(k,n) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( g(X) != X
    | element(X,n)
    | X = n ),
    inference(cnf_transformation,[],[c_10]) ).

cnf('5',plain,
    ( g(k) = n
    | g(k) = m
    | k = n
    | element(k,n) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( g(X) != n
    | element(X,n)
    | X = n ),
    inference(cnf_transformation,[],[c_9]) ).

cnf('7',plain,
    ( g(k) = m
    | k = n
    | element(k,n) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    ( element(X,g(X))
    | element(X,n)
    | X = n ),
    inference(cnf_transformation,[],[c_11]) ).

cnf('9',plain,
    ( k = n
    | element(k,n)
    | element(k,m) ),
    inference(paramodulation,[],['7','8']) ).

cnf('10',plain,
    ( X != n
    | element(X,k)
    | X = k ),
    inference(cnf_transformation,[],[c_15]) ).

cnf('11',plain,
    n != k,
    inference(cnf_transformation,[],[c_2]) ).

cnf('12',plain,
    element(n,k),
    inference(reflexivity,[then_simplify],['10','11']) ).

cnf('13',plain,
    ( ~ element(X,Y)
    | ~ element(Y,X)
    | element(Y,m)
    | X = m
    | X = Y
    | Y = m ),
    inference(cnf_transformation,[],[c_8]) ).

cnf('14',plain,
    k != m,
    inference(cnf_transformation,[],[c_3]) ).

cnf('15',plain,
    ( ~ element(k,n)
    | n = m
    | element(k,m) ),
    inference(resolution,[then_simplify],['12','13','11','14']) ).

cnf('16',plain,
    ( n = m
    | k = n
    | element(k,m) ),
    inference(resolution,[],['9','15']) ).

cnf('17',plain,
    ( element(f(X),X)
    | ~ element(X,m)
    | X = m ),
    inference(cnf_transformation,[],[c_7]) ).

cnf('18',plain,
    ( element(f(k),k)
    | n = m
    | k = n ),
    inference(resolution,[then_simplify],['16','17','14']) ).

cnf('19',plain,
    ( f(k) = n
    | f(k) = m
    | f(k) = k
    | n = m
    | k = n ),
    inference(resolution,[],['18','1']) ).

cnf('20',plain,
    ( f(X) != X
    | ~ element(X,m)
    | X = m ),
    inference(cnf_transformation,[],[c_5]) ).

cnf('21',plain,
    ( ~ element(k,m)
    | f(k) = n
    | f(k) = m
    | n = m
    | k = n ),
    inference(resolution,[then_simplify],['19','20','14']) ).

cnf('22',plain,
    ( f(k) = n
    | f(k) = m
    | n = m
    | k = n ),
    inference(resolution,[],['21','16']) ).

cnf('23',plain,
    ( element(X,f(X))
    | ~ element(X,m)
    | X = m ),
    inference(cnf_transformation,[],[c_6]) ).

cnf('24',plain,
    ( element(k,f(k))
    | n = m
    | k = n ),
    inference(resolution,[then_simplify],['16','23','14']) ).

cnf('25',plain,
    ( f(k) = m
    | n = m
    | k = n
    | element(k,n) ),
    inference(paramodulation,[],['22','24']) ).

cnf('26',plain,
    ( f(X) != m
    | ~ element(X,m)
    | X = m ),
    inference(cnf_transformation,[],[c_4]) ).

cnf('27',plain,
    ( ~ element(k,m)
    | n = m
    | k = n
    | element(k,n) ),
    inference(resolution,[then_simplify],['25','26','14']) ).

cnf('28',plain,
    ( n = m
    | k = n
    | element(k,n) ),
    inference(resolution,[],['27','16']) ).

cnf('29',plain,
    ( ~ element(X,Y)
    | ~ element(Y,n)
    | ~ element(Y,X)
    | X = n
    | X = Y
    | Y = n ),
    inference(cnf_transformation,[],[c_13]) ).

cnf('30',plain,
    ( n = m
    | k = n
    | ~ element(k,X)
    | ~ element(X,k)
    | X = k
    | X = n ),
    inference(resolution,[],['28','29']) ).

cnf('31',plain,
    m != n,
    inference(cnf_transformation,[],[c_1]) ).

cnf('32',plain,
    ( ~ element(m,k)
    | n = m
    | k = n
    | m = k ),
    inference(resolution,[then_simplify],['30','16','31']) ).

cnf('33',plain,
    ( X != m
    | element(X,k)
    | X = k ),
    inference(cnf_transformation,[],[c_14]) ).

cnf('34',plain,
    ( m = k
    | element(m,k) ),
    inference(reflexivity,[],['33']) ).

cnf('35',plain,
    ( n = m
    | k = n
    | m = k ),
    inference(simplify,[],['32','34']) ).

cnf('36',plain,
    n != k,
    inference(cnf_transformation,[],[c_2]) ).

cnf('37',plain,
    ( n = m
    | m = k ),
    inference(paramodulation,[],['35','36']) ).

cnf('38',plain,
    m != n,
    inference(cnf_transformation,[],[c_1]) ).

cnf('39',plain,
    m = k,
    inference(paramodulation,[],['37','38']) ).

cnf('40',plain,
    k != m,
    inference(cnf_transformation,[],[c_3]) ).

cnf('41',plain,
    $false,
    inference(paramodulation,[],['39','40']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 18:09:09 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    16
% 0.19/0.38  in_rule_clause_count:               16
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              3
% 0.19/0.38  in_unit_clause_count:                3
% 0.19/0.38  in_horn_clause_count:                5
% 0.19/0.38  in_pos_clause_count:                 2
% 0.19/0.38  in_neg_clause_count:                 3
% 0.19/0.38  in_poseq_clause_count:              13
% 0.19/0.38  in_negeq_clause_count:               9
% 0.19/0.38  in_unitposeq_clause_count:           0
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             6
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              2
% 0.19/0.38  in_min_size:               3
% 0.19/0.38  in_max_size:              18
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               2
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                    0
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                    16
% 0.19/0.38  in_neg_goal_count:                 3
% 0.19/0.38  in_pos_goal_count:                 2
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":10},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":10},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  fork 3: search finished without proof.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  result: proof found
% 0.19/0.43  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.43  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.43  
% 0.19/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.43  
% 0.19/0.43  run 1 fork 0 statistics:
% 0.19/0.43  ----------------------------------
% 0.19/0.43  this run seconds: 0.010083
% 0.19/0.43  total seconds: 0.030913
% 0.19/0.43  stat_given_used: 48
% 0.19/0.43  stat_given_used_at_endgame: 0
% 0.19/0.43  stat_given_candidates:   87
% 0.19/0.43  stat_given_candidates_at_endgame: 0
% 0.19/0.43  stat_given_candidates_h: 0
% 0.19/0.43  stat_binres_derived_cl:   70
% 0.19/0.43  stat_binres_derived_cl_h: 0
% 0.19/0.43  stat_factor_derived_cl: 18
% 0.19/0.43  stat_para_derived_cl: 115
% 0.19/0.43  stat_tautologies_discarded: 10
% 0.19/0.43  stat_forward_subsumed: 14
% 0.19/0.43  stat_derived_cut: 26
% 0.19/0.43  stat_derived_rewritten: 0
% 0.19/0.43  stat_weight_discarded_building: 0
% 0.19/0.43  stat_weight_discarded_cl: 0
% 0.19/0.43  stat_internlimit_discarded_cl: 0
% 0.19/0.43  stat_simplified:  2 simplified 0 derived 0 given
% 0.19/0.43  stat_kept_cl: 130
% 0.19/0.43  stat_built_cl: 228
% 0.19/0.43  stat_hyperres_partial_cl: 0
% 0.19/0.43  stat_made_rewriters: 1
% 0.19/0.43  stat_backward_subsumed: 0
% 0.19/0.43  stat_propagated_subsumed: 0
% 0.19/0.43  stat_clsubs_attempted:                       106
% 0.19/0.43  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.43  stat_clsubs_rule_groundunit_found:             3
% 0.19/0.43  stat_clsubs_top_meta_attempted:               1588
% 0.19/0.43  stat_clsubs_top_meta_failed:                  1482
% 0.19/0.43  stat_clsubs_top_meta_nonpref_attempted:                1588
% 0.19/0.43  stat_clsubs_top_meta_nonpref_succeeded:                 415
% 0.19/0.43  stat_clsubs_top_meta_pref_attempted:                    415
% 0.19/0.43  stat_clsubs_top_meta_pref1_succeeded:                   272
% 0.19/0.43  stat_clsubs_top_meta_pref2_succeeded:                   133
% 0.19/0.43  stat_clsubs_top_meta_pref3_succeeded:                   106
% 0.19/0.43  stat_clsubs_top_meta_pref_succeeded:                    106
% 0.19/0.43  stat_clsubs_meta_attempted:                  372
% 0.19/0.43  stat_clsubs_meta_failed:                     105
% 0.19/0.43  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.43  stat_clsubs_unit_attempted:                    0
% 0.19/0.43  stat_clsubs_full_attempted:                  106
% 0.19/0.43  stat_forwardsubs_attempted:                  144
% 0.19/0.43  stat_lit_hash_added:                     19
% 0.19/0.43  stat_lit_hash_computed:                1681
% 0.19/0.43  stat_lit_hash_match_found:               46
% 0.19/0.43  stat_lit_hash_match_miss:              2514
% 0.19/0.43  stat_lit_hash_cut_ok:                    31
% 0.19/0.43  stat_lit_strong_cut_ok:                   0
% 0.19/0.43  stat_lit_hash_subsume_ok:                14
% 0.19/0.43  clqueue els 10000000 used 1
% 0.19/0.43  clactive els 10000000 used 49
% 0.19/0.43  clactivesubsume els 10000000 used 259
% 0.19/0.43  queue_termbuf els 200000000 used 8465
% 0.19/0.43  hyper_termbuf els 100000000 used 1
% 0.19/0.43  active_termbuf els 100000000 used 1846
% 0.19/0.43  varstack els 5000 last used 1
% 0.19/0.43  given_termbuf els 10000000 last used 1
% 0.19/0.43  simplified_termbuf els 10000000 last used 1
% 0.19/0.43  derived_termbuf els 10000000 last used 22
% 0.19/0.43  wr_mallocs: 411
% 0.19/0.43  wr_callocs: 21
% 0.19/0.43  wr_reallocs: 13
% 0.19/0.43  wr_frees: 2
% 0.19/0.43  wr_malloc_bytes: 4162591732
% 0.19/0.43  wr_calloc_bytes: 112065536
% 0.19/0.43  wr_realloc_bytes: 1776
% 0.19/0.43  wr_realloc_freebytes: 0
% 0.19/0.43  ----------------------------------
%------------------------------------------------------------------------------