TSTP Solution File: GRP040-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP040-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n027.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 00:52:04 EDT 2023

% Result   : Unsatisfiable 0.20s 0.66s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_associativity1')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity1']) ).

cnf('2',plain,
    product(identity,X,X),
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('3',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,Z,U)
    | product(X,U,Z) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    product(inverse(X),X,identity),
    inference(cnf_transformation,[],['$inc_left_inverse']) ).

cnf('5',plain,
    ( product(inverse(X),Y,Z)
    | ~ product(X,Z,Y) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( product(X,element_in_O2(X,Y),Y)
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[property_of_O2]) ).

cnf('7',plain,
    ( product(inverse(X),Y,element_in_O2(X,Y))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    product(a,c,d),
    inference(cnf_transformation,[],[a_times_c_is_d]) ).

cnf('9',plain,
    product(inverse(a),d,c),
    inference(resolution,[],['5','8']) ).

cnf('10',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_total_function2']) ).

cnf('11',plain,
    ( ~ product(inverse(a),d,X)
    | X = c ),
    inference(resolution,[],['9','10']) ).

cnf('12',plain,
    ~ subgroup_member(d),
    inference(cnf_transformation,[],[d_in_subgroup]) ).

cnf('13',plain,
    ~ subgroup_member(a),
    inference(cnf_transformation,[],[a_in_subgroup]) ).

cnf('14',plain,
    element_in_O2(a,d) = c,
    inference(resolution,[then_simplify],['7','11','12','13']) ).

cnf('15',plain,
    ( ~ product(X,inverse(Y),Z)
    | ~ subgroup_member(Y)
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(cnf_transformation,[],['$inc_closure_of_product_and_inverse']) ).

cnf('16',plain,
    product(identity,X,X),
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('17',plain,
    ( ~ product(identity,X,Y)
    | Y = X ),
    inference(resolution,[],['10','16']) ).

cnf('18',plain,
    ( product(X,element_in_O2(X,X),X)
    | subgroup_member(X) ),
    inference(factorization,[],['6']) ).

cnf('19',plain,
    ( identity = element_in_O2(identity,identity)
    | subgroup_member(identity) ),
    inference(resolution,[],['17','18']) ).

cnf('20',plain,
    ( subgroup_member(element_in_O2(X,Y))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[an_element_in_O2]) ).

cnf('21',plain,
    ( subgroup_member(element_in_O2(X,X))
    | subgroup_member(X) ),
    inference(factorization,[],['20']) ).

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

cnf('23',plain,
    ( subgroup_member(inverse(X))
    | ~ subgroup_member(X) ),
    inference(resolution,[then_simplify],['15','2','22']) ).

cnf('24',plain,
    ( subgroup_member(inverse(element_in_O2(X,Y)))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(resolution,[],['23','20']) ).

cnf('25',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_total_function1']) ).

cnf('26',plain,
    ( X = multiply(Y,Z)
    | ~ product(Y,Z,X) ),
    inference(resolution,[],['10','25']) ).

cnf('27',plain,
    product(b,inverse(a),c),
    inference(cnf_transformation,[],[b_times_a_inverse_is_c]) ).

cnf('28',plain,
    c = multiply(b,inverse(a)),
    inference(resolution,[],['26','27']) ).

cnf('29',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity2']) ).

cnf('30',plain,
    product(X,inverse(X),identity),
    inference(cnf_transformation,[],['$inc_right_inverse']) ).

cnf('31',plain,
    ( product(X,inverse(Y),Z)
    | ~ product(U,identity,Z)
    | ~ product(U,Y,X) ),
    inference(resolution,[],['29','30']) ).

cnf('32',plain,
    product(X,identity,X),
    inference(cnf_transformation,[],['$inc_right_identity']) ).

cnf('33',plain,
    ( product(X,inverse(Y),Z)
    | ~ product(Z,Y,X) ),
    inference(resolution,[],['31','32']) ).

cnf('34',plain,
    product(multiply(X,Y),inverse(Y),X),
    inference(resolution,[],['33','25']) ).

cnf('35',plain,
    X = multiply(multiply(X,Y),inverse(Y)),
    inference(resolution,[],['34','26']) ).

cnf('36',plain,
    b = multiply(c,inverse(inverse(a))),
    inference(paramodulation,[],['28','35']) ).

cnf('37',plain,
    inverse(inverse(X)) = X,
    inference(cnf_transformation,[],[prove_inverse_is_self_cancelling]) ).

cnf('38',plain,
    b = multiply(c,a),
    inference(simplify,[],['36','37']) ).

cnf('39',plain,
    product(c,a,b),
    inference(paramodulation,[],['38','25']) ).

cnf('40',plain,
    product(inverse(c),b,a),
    inference(resolution,[],['39','5']) ).

cnf('41',plain,
    ( ~ product(X,Y,Z)
    | ~ subgroup_member(inverse(Y))
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(paramodulation,[],['37','15']) ).

cnf('42',plain,
    subgroup_member(b),
    inference(cnf_transformation,[],[b_is_in_subgroup]) ).

cnf('43',plain,
    subgroup_member(inverse(b)),
    inference(resolution,[],['23','42']) ).

cnf('44',plain,
    ( ~ product(X,b,Y)
    | ~ subgroup_member(X)
    | subgroup_member(Y) ),
    inference(resolution,[],['41','43']) ).

cnf('45',plain,
    ~ subgroup_member(inverse(c)),
    inference(resolution,[then_simplify],['40','44','13']) ).

cnf('46',plain,
    $false,
    inference(paramodulation,[then_simplify],['14','24','45','12','13']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : gkc %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 01:35:52 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.40  
% 0.20/0.40  input clause set summed statistics:
% 0.20/0.40  ----------------------------------
% 0.20/0.40  in_clause_count:                    17
% 0.20/0.40  in_rule_clause_count:               13
% 0.20/0.40  in_fact_clause_count:                4
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:              5
% 0.20/0.40  in_unit_clause_count:               11
% 0.20/0.40  in_horn_clause_count:               15
% 0.20/0.40  in_pos_clause_count:                11
% 0.20/0.40  in_neg_clause_count:                 2
% 0.20/0.40  in_poseq_clause_count:               2
% 0.20/0.40  in_negeq_clause_count:               0
% 0.20/0.40  in_unitposeq_clause_count:           1
% 0.20/0.40  in_chain_clause_count:               0
% 0.20/0.40  in_min_length:             1
% 0.20/0.40  in_max_length:             4
% 0.20/0.40  in_min_depth:              1
% 0.20/0.40  in_max_depth:              3
% 0.20/0.40  in_min_size:               2
% 0.20/0.40  in_max_size:              16
% 0.20/0.40  in_min_vars:               0
% 0.20/0.40  in_max_vars:               6
% 0.20/0.40  in_extaxiom_count:                 9
% 0.20/0.40  in_axiom_count:                    2
% 0.20/0.40  in_assumption_count:               5
% 0.20/0.40  in_goal_count:                     1
% 0.20/0.40  in_neg_goal_count:                 0
% 0.20/0.40  in_pos_goal_count:                 1
% 0.20/0.40  in_posunit_goal_count:             1
% 0.20/0.40  
% 0.20/0.40  auto guide:
% 0.20/0.40  -----------
% 0.20/0.40  {
% 0.20/0.40  "print":1,
% 0.20/0.40  "print_level": 15,
% 0.20/0.40  "max_size": 0,
% 0.20/0.40  "max_depth": 0,
% 0.20/0.40  "max_length": 0,
% 0.20/0.40  "max_dseconds": 0,
% 0.20/0.40  "runs":[
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"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},
% 0.20/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.40  {"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":1},
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% 0.20/0.40  {"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},
% 0.20/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.40  {"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},
% 0.20/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.43  
% 0.20/0.43  fork 3: search finished without proof.
% 0.20/0.46  
% 0.20/0.46  **** run 12 fork 3 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 5: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 4: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 6: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 2: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 1: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 0: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 7: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  
% 0.20/0.55  **** run 11 fork 2 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.55  
% 0.20/0.55  **** run 14 fork 5 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 10 fork 1 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.55  
% 0.20/0.55  **** run 13 fork 4 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 9 fork 0 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  **** run 16 fork 7 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  fork 3: search terminated without proof.
% 0.20/0.59  
% 0.20/0.59  **** run 20 fork 3 starts with strategy
% 0.20/0.59  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  result: proof found
% 0.20/0.66  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.66  by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.66  
% 0.20/0.66  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.66  
% 0.20/0.66  run 9 fork 0 statistics:
% 0.20/0.66  ----------------------------------
% 0.20/0.66  this run seconds: 0.085292
% 0.20/0.66  total seconds: 0.244711
% 0.20/0.66  stat_given_used: 480
% 0.20/0.66  stat_given_used_at_endgame: 0
% 0.20/0.66  stat_given_candidates:   2181
% 0.20/0.66  stat_given_candidates_at_endgame: 0
% 0.20/0.66  stat_given_candidates_h: 0
% 0.20/0.66  stat_binres_derived_cl:   6841
% 0.20/0.66  stat_binres_derived_cl_h: 0
% 0.20/0.66  stat_factor_derived_cl: 60
% 0.20/0.66  stat_para_derived_cl: 2672
% 0.20/0.66  stat_tautologies_discarded: 165
% 0.20/0.66  stat_forward_subsumed: 1851
% 0.20/0.66  stat_derived_cut: 248
% 0.20/0.66  stat_derived_rewritten: 298
% 0.20/0.66  stat_weight_discarded_building: 0
% 0.20/0.66  stat_weight_discarded_cl: 2896
% 0.20/0.66  stat_internlimit_discarded_cl: 0
% 0.20/0.66  stat_simplified:  298 simplified 0 derived 0 given
% 0.20/0.66  stat_kept_cl: 4416
% 0.20/0.66  stat_built_cl: 8570
% 0.20/0.66  stat_hyperres_partial_cl: 0
% 0.20/0.66  stat_made_rewriters: 63
% 0.20/0.66  stat_backward_subsumed: 0
% 0.20/0.66  stat_propagated_subsumed: 0
% 0.20/0.66  stat_clsubs_attempted:                      7802
% 0.20/0.66  stat_clsubs_fact_groundunit_found:             8
% 0.20/0.66  stat_clsubs_rule_groundunit_found:            24
% 0.20/0.66  stat_clsubs_top_meta_attempted:             161449
% 0.20/0.66  stat_clsubs_top_meta_failed:                153647
% 0.20/0.66  stat_clsubs_top_meta_nonpref_attempted:              161449
% 0.20/0.66  stat_clsubs_top_meta_nonpref_succeeded:               32672
% 0.20/0.66  stat_clsubs_top_meta_pref_attempted:                  32672
% 0.20/0.66  stat_clsubs_top_meta_pref1_succeeded:                 13118
% 0.20/0.66  stat_clsubs_top_meta_pref2_succeeded:                  8427
% 0.20/0.66  stat_clsubs_top_meta_pref3_succeeded:                  7802
% 0.20/0.66  stat_clsubs_top_meta_pref_succeeded:                   7802
% 0.20/0.66  stat_clsubs_meta_attempted:                13528
% 0.20/0.66  stat_clsubs_meta_failed:                    4640
% 0.20/0.66  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.66  stat_clsubs_unit_attempted:                 2830
% 0.20/0.66  stat_clsubs_full_attempted:                 4972
% 0.20/0.66  stat_forwardsubs_attempted:                 9164
% 0.20/0.66  stat_lit_hash_added:                   5144
% 0.20/0.66  stat_lit_hash_computed:               39330
% 0.20/0.66  stat_lit_hash_match_found:             2660
% 0.20/0.66  stat_lit_hash_match_miss:             46020
% 0.20/0.66  stat_lit_hash_cut_ok:                   383
% 0.20/0.66  stat_lit_strong_cut_ok:                   4
% 0.20/0.66  stat_lit_hash_subsume_ok:              1851
% 0.20/0.66  clqueue els 10000000 used 1
% 0.20/0.66  clactive els 10000000 used 481
% 0.20/0.66  clactivesubsume els 10000000 used 2185
% 0.20/0.66  queue_termbuf els 200000000 used 275148
% 0.20/0.66  hyper_termbuf els 100000000 used 1
% 0.20/0.66  active_termbuf els 100000000 used 16569
% 0.20/0.66  varstack els 5000 last used 1
% 0.20/0.66  given_termbuf els 10000000 last used 1
% 0.20/0.66  simplified_termbuf els 10000000 last used 1
% 0.20/0.66  derived_termbuf els 10000000 last used 46
% 0.20/0.66  wr_mallocs: 8520
% 0.20/0.66  wr_callocs: 21
% 0.20/0.66  wr_reallocs: 1132
% 0.20/0.66  wr_frees: 2
% 0.20/0.66  wr_malloc_bytes: 4162892740
% 0.20/0.66  wr_calloc_bytes: 112065536
% 0.20/0.66  wr_realloc_bytes: 243648
% 0.20/0.66  wr_realloc_freebytes: 0
% 0.20/0.66  ----------------------------------
%------------------------------------------------------------------------------