TSTP Solution File: GRP012-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n016.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 00:51:50 EDT 2023

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% 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(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity2']) ).

cnf('3',plain,
    ( ~ product(X,Y,Y)
    | ~ product(X,X,Z)
    | product(Z,Y,Y) ),
    inference(factorization,[],['2']) ).

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

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

cnf('6',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,U,Y)
    | product(Z,U,Z) ),
    inference(factorization,[],['2']) ).

cnf('7',plain,
    product(X,identity,X),
    inference(cnf_transformation,[],['$inc_right_identity']) ).

cnf('8',plain,
    ( ~ product(X,Y,Z)
    | product(Z,identity,Z) ),
    inference(resolution,[],['6','7']) ).

cnf('9',plain,
    product(X,identity,X),
    inference(resolution,[],['8','7']) ).

cnf('10',plain,
    product(identity,X,X),
    inference(resolution,[],['5','9']) ).

cnf('11',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,Z,U)
    | product(X,U,Z) ),
    inference(resolution,[],['1','10']) ).

cnf('12',plain,
    product(X,inverse(X),identity),
    inference(cnf_transformation,[],['$inc_right_inverse']) ).

cnf('13',plain,
    ( ~ product(inverse(X),Y,Z)
    | product(X,Z,Y) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    product(inverse(b),inverse(a),d),
    inference(cnf_transformation,[],[inverse_b_multiply_inverse_a_is_d]) ).

cnf('15',plain,
    product(b,d,inverse(a)),
    inference(resolution,[],['13','14']) ).

cnf('16',plain,
    ( product(X,inverse(Y),Z)
    | ~ product(U,identity,Z)
    | ~ product(U,Y,X) ),
    inference(resolution,[],['2','12']) ).

cnf('17',plain,
    ( product(X,inverse(Y),Z)
    | ~ product(Z,Y,X) ),
    inference(resolution,[],['16','9']) ).

cnf('18',plain,
    product(inverse(a),inverse(d),b),
    inference(resolution,[],['15','17']) ).

cnf('19',plain,
    product(a,b,inverse(d)),
    inference(resolution,[],['18','13']) ).

cnf('20',plain,
    product(a,b,c),
    inference(cnf_transformation,[],[a_multiply_b_is_c]) ).

cnf('21',plain,
    ( ~ product(X,Y,a)
    | ~ product(Y,b,Z)
    | product(X,Z,c) ),
    inference(resolution,[],['1','20']) ).

cnf('22',plain,
    ( ~ product(a,b,X)
    | product(identity,X,c) ),
    inference(resolution,[],['21','10']) ).

cnf('23',plain,
    product(identity,inverse(d),c),
    inference(resolution,[],['19','22']) ).

cnf('24',plain,
    product(X,identity,X),
    inference(cnf_transformation,[],['$inc_right_identity']) ).

cnf('25',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | product(Z,identity,U) ),
    inference(resolution,[],['2','24']) ).

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

cnf('27',plain,
    product(inverse(d),identity,c),
    inference(resolution,[],['23','26']) ).

cnf('28',plain,
    product(d,c,identity),
    inference(resolution,[],['27','13']) ).

cnf('29',plain,
    product(identity,inverse(c),d),
    inference(resolution,[],['28','17']) ).

cnf('30',plain,
    product(inverse(c),identity,d),
    inference(resolution,[],['29','26']) ).

cnf('31',plain,
    ~ product(c,d,identity),
    inference(cnf_transformation,[],[prove_c_multiply_d_is_identity]) ).

cnf('32',plain,
    $false,
    inference(resolution,[then_simplify],['30','13','31']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n016.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 : Tue Aug 29 01:06:45 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  
% 0.12/0.38  input clause set summed statistics:
% 0.12/0.38  ----------------------------------
% 0.12/0.38  in_clause_count:                    11
% 0.12/0.38  in_rule_clause_count:                8
% 0.12/0.38  in_fact_clause_count:                3
% 0.12/0.38  in_answer_clause_count:              0
% 0.12/0.38  in_ground_clause_count:              3
% 0.12/0.38  in_unit_clause_count:                8
% 0.12/0.38  in_horn_clause_count:               11
% 0.12/0.38  in_pos_clause_count:                 7
% 0.12/0.38  in_neg_clause_count:                 1
% 0.12/0.38  in_poseq_clause_count:               1
% 0.12/0.38  in_negeq_clause_count:               0
% 0.12/0.38  in_unitposeq_clause_count:           0
% 0.12/0.38  in_chain_clause_count:               0
% 0.12/0.38  in_min_length:             1
% 0.12/0.38  in_max_length:             4
% 0.12/0.38  in_min_depth:              1
% 0.12/0.38  in_max_depth:              2
% 0.12/0.38  in_min_size:               4
% 0.12/0.38  in_max_size:              16
% 0.12/0.38  in_min_vars:               0
% 0.12/0.38  in_max_vars:               6
% 0.12/0.38  in_extaxiom_count:                 8
% 0.12/0.38  in_axiom_count:                    0
% 0.12/0.38  in_assumption_count:               2
% 0.12/0.38  in_goal_count:                     1
% 0.12/0.38  in_neg_goal_count:                 1
% 0.12/0.38  in_pos_goal_count:                 0
% 0.12/0.38  in_posunit_goal_count:             0
% 0.12/0.38  
% 0.12/0.38  auto guide:
% 0.12/0.38  -----------
% 0.12/0.38  {
% 0.12/0.38  "print":1,
% 0.12/0.38  "print_level": 15,
% 0.12/0.38  "max_size": 0,
% 0.12/0.38  "max_depth": 0,
% 0.12/0.38  "max_length": 0,
% 0.12/0.38  "max_dseconds": 0,
% 0.12/0.38  "runs":[
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.12/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.38  {"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},
% 0.12/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.12/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.12/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.12/0.38  {"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},
% 0.12/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.12/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.38  
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.12/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.12/0.38  
% 0.12/0.38  ]}
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  **** run 1 fork 0 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.12/0.38  
% 0.12/0.38  **** run 2 fork 1 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.12/0.38  
% 0.12/0.38  **** run 3 fork 2 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.12/0.38  
% 0.12/0.38  **** run 4 fork 3 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.12/0.38  
% 0.12/0.38  **** run 5 fork 4 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.38  
% 0.12/0.38  **** run 6 fork 5 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.38  
% 0.12/0.38  **** run 7 fork 6 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.12/0.40  
% 0.12/0.40  **** run 8 fork 7 starts with strategy
% 0.12/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  result: proof found
% 0.19/0.47  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.47  by run 4 fork 3 strategy {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.47  
% 0.19/0.47  run 4 fork 3 statistics:
% 0.19/0.47  ----------------------------------
% 0.19/0.47  this run seconds: 0.056867
% 0.19/0.47  total seconds: 0.087710
% 0.19/0.47  stat_given_used: 270
% 0.19/0.47  stat_given_used_at_endgame: 0
% 0.19/0.47  stat_given_candidates:   688
% 0.19/0.47  stat_given_candidates_at_endgame: 0
% 0.19/0.47  stat_given_candidates_h: 0
% 0.19/0.47  stat_binres_derived_cl:   4431
% 0.19/0.47  stat_binres_derived_cl_h: 0
% 0.19/0.47  stat_factor_derived_cl: 30
% 0.19/0.47  stat_para_derived_cl: 0
% 0.19/0.47  stat_tautologies_discarded: 104
% 0.19/0.47  stat_forward_subsumed: 2260
% 0.19/0.47  stat_derived_cut: 1
% 0.19/0.47  stat_derived_rewritten: 0
% 0.19/0.47  stat_weight_discarded_building: 0
% 0.19/0.47  stat_weight_discarded_cl: 68
% 0.19/0.47  stat_internlimit_discarded_cl: 0
% 0.19/0.47  stat_simplified:  0 simplified 0 derived 0 given
% 0.19/0.47  stat_kept_cl: 2028
% 0.19/0.47  stat_built_cl: 2636
% 0.19/0.47  stat_hyperres_partial_cl: 0
% 0.19/0.47  stat_made_rewriters: 0
% 0.19/0.47  stat_backward_subsumed: 0
% 0.19/0.47  stat_propagated_subsumed: 0
% 0.19/0.47  stat_clsubs_attempted:                      6747
% 0.19/0.47  stat_clsubs_fact_groundunit_found:             4
% 0.19/0.47  stat_clsubs_rule_groundunit_found:             4
% 0.19/0.47  stat_clsubs_top_meta_attempted:              48875
% 0.19/0.47  stat_clsubs_top_meta_failed:                 42128
% 0.19/0.47  stat_clsubs_top_meta_nonpref_attempted:               48875
% 0.19/0.47  stat_clsubs_top_meta_nonpref_succeeded:               12303
% 0.19/0.47  stat_clsubs_top_meta_pref_attempted:                  12303
% 0.19/0.47  stat_clsubs_top_meta_pref1_succeeded:                 12303
% 0.19/0.47  stat_clsubs_top_meta_pref2_succeeded:                  7862
% 0.19/0.47  stat_clsubs_top_meta_pref3_succeeded:                  6747
% 0.19/0.47  stat_clsubs_top_meta_pref_succeeded:                   6747
% 0.19/0.47  stat_clsubs_meta_attempted:                 9562
% 0.19/0.47  stat_clsubs_meta_failed:                    2386
% 0.19/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.47  stat_clsubs_unit_attempted:                 4334
% 0.19/0.47  stat_clsubs_full_attempted:                 2413
% 0.19/0.47  stat_forwardsubs_attempted:                 4357
% 0.19/0.47  stat_lit_hash_added:                   3033
% 0.19/0.47  stat_lit_hash_computed:               14577
% 0.19/0.47  stat_lit_hash_match_found:             2271
% 0.19/0.47  stat_lit_hash_match_miss:             12384
% 0.19/0.47  stat_lit_hash_cut_ok:                     1
% 0.19/0.47  stat_lit_strong_cut_ok:                   0
% 0.19/0.47  stat_lit_hash_subsume_ok:              2260
% 0.19/0.47  clqueue els 10000000 used 1
% 0.19/0.47  clactive els 10000000 used 271
% 0.19/0.47  clactivesubsume els 10000000 used 1147
% 0.19/0.47  queue_termbuf els 200000000 used 113668
% 0.19/0.47  hyper_termbuf els 100000000 used 1
% 0.19/0.47  active_termbuf els 100000000 used 8487
% 0.19/0.47  varstack els 5000 last used 1
% 0.19/0.47  given_termbuf els 10000000 last used 1
% 0.19/0.47  simplified_termbuf els 10000000 last used 1
% 0.19/0.47  derived_termbuf els 10000000 last used 23
% 0.19/0.47  wr_mallocs: 4683
% 0.19/0.47  wr_callocs: 21
% 0.19/0.47  wr_reallocs: 798
% 0.19/0.47  wr_frees: 4
% 0.19/0.47  wr_malloc_bytes: 4162765060
% 0.19/0.47  wr_calloc_bytes: 112065536
% 0.19/0.47  wr_realloc_bytes: 136840
% 0.19/0.47  wr_realloc_freebytes: 0
% 0.19/0.47  ----------------------------------
%------------------------------------------------------------------------------