TSTP Solution File: BOO013-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : BOO013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n002.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 : Wed Aug 30 18:08:33 EDT 2023

% Result   : Unsatisfiable 4.01s 0.95s
% Output   : CNFRefutation 4.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_distributivity1')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,V)
    | ~ product(X,W,X2006)
    | ~ sum(W,U,Y)
    | sum(X2006,V,Z) ),
    inference(cnf_transformation,[],['$inc_distributivity1']) ).

cnf('2',plain,
    ( ~ product(X,Y,Z)
    | product(Y,X,Z) ),
    inference(cnf_transformation,[],['$inc_commutativity_of_multiplication']) ).

cnf('3',plain,
    product(x,y,additive_identity),
    inference(cnf_transformation,[],[product_to_additive_identity1]) ).

cnf('4',plain,
    product(y,x,additive_identity),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    ( ~ product(y,X,Y)
    | ~ product(y,Z,U)
    | ~ sum(X,x,Z)
    | sum(Y,additive_identity,U) ),
    inference(resolution,[],['1','4']) ).

cnf('6',plain,
    product(X,multiplicative_identity,X),
    inference(cnf_transformation,[],['$inc_multiplicative_identity2']) ).

cnf('7',plain,
    ( ~ product(y,X,Y)
    | ~ sum(X,x,multiplicative_identity)
    | sum(Y,additive_identity,y) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    ( ~ sum(X,Y,Z)
    | sum(Y,X,Z) ),
    inference(cnf_transformation,[],['$inc_commutativity_of_addition']) ).

cnf('9',plain,
    sum(x,y,multiplicative_identity),
    inference(cnf_transformation,[],[sum_to_multiplicative_identity1]) ).

cnf('10',plain,
    sum(y,x,multiplicative_identity),
    inference(resolution,[],['8','9']) ).

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

cnf('12',plain,
    ( ~ product(X,y,Y)
    | ~ product(X,x,Z)
    | sum(Y,Z,X) ),
    inference(resolution,[],['11','6']) ).

cnf('13',plain,
    product(x,z,additive_identity),
    inference(cnf_transformation,[],[product_to_additive_identity2]) ).

cnf('14',plain,
    product(z,x,additive_identity),
    inference(resolution,[],['2','13']) ).

cnf('15',plain,
    ( ~ product(z,y,X)
    | sum(X,additive_identity,z) ),
    inference(resolution,[],['12','14']) ).

cnf('16',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_closure_of_multiplication']) ).

cnf('17',plain,
    product(X,Y,multiply(Y,X)),
    inference(resolution,[],['2','16']) ).

cnf('18',plain,
    sum(multiply(y,z),additive_identity,z),
    inference(resolution,[],['15','17']) ).

cnf('19',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_addition_is_well_defined']) ).

cnf('20',plain,
    sum(additive_identity,X,X),
    inference(cnf_transformation,[],['$inc_additive_identity1']) ).

cnf('21',plain,
    sum(X,additive_identity,X),
    inference(resolution,[],['8','20']) ).

cnf('22',plain,
    ( ~ sum(X,additive_identity,Y)
    | X = Y ),
    inference(resolution,[],['19','21']) ).

cnf('23',plain,
    multiply(y,z) = z,
    inference(resolution,[],['18','22']) ).

cnf('24',plain,
    product(y,z,z),
    inference(paramodulation,[],['23','16']) ).

cnf('25',plain,
    sum(x,z,multiplicative_identity),
    inference(cnf_transformation,[],[sum_to_multiplicative_identity2]) ).

cnf('26',plain,
    sum(z,x,multiplicative_identity),
    inference(resolution,[],['8','25']) ).

cnf('27',plain,
    ( ~ sum(X,additive_identity,Y)
    | Y = X ),
    inference(resolution,[],['19','21']) ).

cnf('28',plain,
    y != z,
    inference(cnf_transformation,[],[prove_both_inverse_are_equal]) ).

cnf('29',plain,
    ~ sum(z,additive_identity,y),
    inference(resolution,[],['27','28']) ).

cnf('30',plain,
    $false,
    inference(resolution,[then_simplify],['7','24','26','29']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : gkc %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 08:05:18 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.38  
% 0.21/0.38  input clause set summed statistics:
% 0.21/0.38  ----------------------------------
% 0.21/0.38  in_clause_count:                    27
% 0.21/0.38  in_rule_clause_count:               19
% 0.21/0.38  in_fact_clause_count:                8
% 0.21/0.38  in_answer_clause_count:              0
% 0.21/0.38  in_ground_clause_count:              5
% 0.21/0.38  in_unit_clause_count:               15
% 0.21/0.38  in_horn_clause_count:               27
% 0.21/0.38  in_pos_clause_count:                14
% 0.21/0.38  in_neg_clause_count:                 1
% 0.21/0.38  in_poseq_clause_count:               2
% 0.21/0.38  in_negeq_clause_count:               1
% 0.21/0.38  in_unitposeq_clause_count:           0
% 0.21/0.38  in_chain_clause_count:               0
% 0.21/0.38  in_min_length:             1
% 0.21/0.38  in_max_length:             5
% 0.21/0.38  in_min_depth:              1
% 0.21/0.38  in_max_depth:              2
% 0.21/0.38  in_min_size:               3
% 0.21/0.38  in_max_size:              20
% 0.21/0.38  in_min_vars:               0
% 0.21/0.38  in_max_vars:               7
% 0.21/0.38  in_extaxiom_count:                22
% 0.21/0.38  in_axiom_count:                    0
% 0.21/0.38  in_assumption_count:               0
% 0.21/0.38  in_goal_count:                     5
% 0.21/0.38  in_neg_goal_count:                 1
% 0.21/0.38  in_pos_goal_count:                 4
% 0.21/0.38  in_posunit_goal_count:             4
% 0.21/0.38  
% 0.21/0.38  auto guide:
% 0.21/0.38  -----------
% 0.21/0.38  {
% 0.21/0.38  "print":1,
% 0.21/0.38  "print_level": 15,
% 0.21/0.38  "max_size": 0,
% 0.21/0.38  "max_depth": 0,
% 0.21/0.38  "max_length": 0,
% 0.21/0.38  "max_dseconds": 0,
% 0.21/0.38  "runs":[
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.38  {"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},
% 0.21/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.38  {"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},
% 0.21/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.38  
% 0.21/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
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% 0.21/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.21/0.39  {"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},
% 0.21/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.39  
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.39  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.39  
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.21/0.39  
% 0.21/0.39  ]}
% 0.21/0.39  
% 0.21/0.39  
% 0.21/0.39  **** run 1 fork 0 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.39  
% 0.21/0.39  **** run 2 fork 1 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.39  
% 0.21/0.39  **** run 3 fork 2 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.39  
% 0.21/0.39  **** run 4 fork 3 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.39  
% 0.21/0.39  **** run 5 fork 4 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.39  
% 0.21/0.39  **** run 6 fork 5 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.39  
% 0.21/0.39  **** run 7 fork 6 starts with strategy
% 0.21/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.40  
% 0.21/0.40  **** run 8 fork 7 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.43  
% 0.21/0.43  fork 3: search finished without proof.
% 0.21/0.46  
% 0.21/0.46  **** run 12 fork 3 starts with strategy
% 0.21/0.46  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.21/0.51  
% 0.21/0.51  fork 0: search finished without proof.
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 2: search terminated without proof.
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 4: search terminated without proof.
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 5: search terminated without proof.
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  fork 1: search terminated without proof.
% 0.21/0.53  
% 0.21/0.53  fork 7: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  **** run 9 fork 0 starts with strategy
% 0.21/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.54  
% 0.21/0.54  **** run 14 fork 5 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.21/0.54  
% 0.21/0.54  **** run 11 fork 2 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.54  
% 0.21/0.54  **** run 13 fork 4 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  **** run 10 fork 1 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.55  
% 0.21/0.55  **** run 16 fork 7 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.58  
% 0.21/0.58  fork 3: search finished without proof.
% 0.21/0.60  
% 0.21/0.60  **** run 20 fork 3 starts with strategy
% 0.21/0.60  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.21/0.65  
% 0.21/0.65  
% 0.21/0.65  fork 0: search terminated without proof.
% 0.21/0.65  
% 0.21/0.65  
% 0.21/0.65  fork 5: search terminated without proof.
% 0.21/0.65  
% 0.21/0.65  
% 0.21/0.65  fork 2: search terminated without proof.
% 0.21/0.66  
% 0.21/0.66  
% 0.21/0.66  fork 4: search terminated without proof.
% 0.21/0.67  
% 0.21/0.67  
% 0.21/0.67  fork 1: search terminated without proof.
% 0.21/0.67  
% 0.21/0.67  
% 0.21/0.67  fork 7: search terminated without proof.
% 0.21/0.67  
% 0.21/0.67  **** run 17 fork 0 starts with strategy
% 0.21/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.67  
% 0.21/0.67  **** run 22 fork 5 starts with strategy
% 0.21/0.67  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 0.21/0.67  
% 0.21/0.67  **** run 19 fork 2 starts with strategy
% 0.21/0.67  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.21/0.68  
% 0.21/0.68  **** run 21 fork 4 starts with strategy
% 0.21/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.21/0.69  
% 0.21/0.69  **** run 24 fork 7 starts with strategy
% 0.21/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.21/0.69  
% 0.21/0.69  **** run 18 fork 1 starts with strategy
% 0.21/0.69  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.72  fork 3: search terminated without proof.
% 2.49/0.74  
% 2.49/0.74  **** run 28 fork 3 starts with strategy
% 2.49/0.74  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 2.85/0.80  
% 2.85/0.80  
% 2.85/0.80  fork 4: search terminated without proof.
% 2.85/0.80  
% 2.85/0.80  
% 2.85/0.80  fork 5: search terminated without proof.
% 2.85/0.80  
% 2.85/0.80  
% 2.85/0.80  fork 0: search terminated without proof.
% 2.85/0.81  
% 2.85/0.81  
% 2.85/0.81  fork 2: search terminated without proof.
% 3.23/0.82  
% 3.23/0.82  
% 3.23/0.82  fork 7: search terminated without proof.
% 3.23/0.82  
% 3.23/0.82  **** run 29 fork 4 starts with strategy
% 3.23/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.23/0.82  
% 3.23/0.82  **** run 30 fork 5 starts with strategy
% 3.23/0.82  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 3.23/0.82  
% 3.23/0.82  
% 3.23/0.82  fork 1: search terminated without proof.
% 3.23/0.82  
% 3.23/0.82  **** run 25 fork 0 starts with strategy
% 3.23/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.23/0.83  
% 3.23/0.83  **** run 27 fork 2 starts with strategy
% 3.23/0.83  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.23/0.84  
% 3.23/0.84  **** run 32 fork 7 starts with strategy
% 3.23/0.84  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.23/0.84  
% 3.23/0.84  **** run 26 fork 1 starts with strategy
% 3.23/0.84  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.51/0.94  
% 3.51/0.94  
% 3.51/0.94  fork 4: search terminated without proof.
% 4.01/0.95  
% 4.01/0.95  
% 4.01/0.95  fork 0: search terminated without proof.
% 4.01/0.95  
% 4.01/0.95  
% 4.01/0.95  result: proof found
% 4.01/0.95  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.01/0.95  by run 28 fork 3 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 4.01/0.95  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 4.01/0.95  
% 4.01/0.95  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 4.01/0.95  
% 4.01/0.95  run 28 fork 3 statistics:
% 4.01/0.95  ----------------------------------
% 4.01/0.95  this run seconds: 0.080666
% 4.01/0.95  total seconds: 0.456796
% 4.01/0.95  stat_given_used: 626
% 4.01/0.95  stat_given_used_at_endgame: 0
% 4.01/0.95  stat_given_candidates:   2113
% 4.01/0.95  stat_given_candidates_at_endgame: 0
% 4.01/0.95  stat_given_candidates_h: 0
% 4.01/0.95  stat_binres_derived_cl:   9572
% 4.01/0.95  stat_binres_derived_cl_h: 0
% 4.01/0.95  stat_factor_derived_cl: 62
% 4.01/0.95  stat_para_derived_cl: 1650
% 4.01/0.95  stat_tautologies_discarded: 147
% 4.01/0.95  stat_forward_subsumed: 1688
% 4.01/0.95  stat_derived_cut: 38
% 4.01/0.95  stat_derived_rewritten: 370
% 4.01/0.95  stat_weight_discarded_building: 0
% 4.01/0.95  stat_weight_discarded_cl: 2079
% 4.01/0.95  stat_internlimit_discarded_cl: 0
% 4.01/0.95  stat_simplified:  370 simplified 0 derived 0 given
% 4.01/0.95  stat_kept_cl: 6965
% 4.01/0.95  stat_built_cl: 10666
% 4.01/0.95  stat_hyperres_partial_cl: 0
% 4.01/0.95  stat_made_rewriters: 61
% 4.01/0.95  stat_backward_subsumed: 0
% 4.01/0.95  stat_propagated_subsumed: 0
% 4.01/0.95  stat_clsubs_attempted:                      9885
% 4.01/0.95  stat_clsubs_fact_groundunit_found:            15
% 4.01/0.95  stat_clsubs_rule_groundunit_found:             8
% 4.01/0.95  stat_clsubs_top_meta_attempted:             330253
% 4.01/0.95  stat_clsubs_top_meta_failed:                320368
% 4.01/0.95  stat_clsubs_top_meta_nonpref_attempted:              330253
% 4.01/0.95  stat_clsubs_top_meta_nonpref_succeeded:               94856
% 4.01/0.95  stat_clsubs_top_meta_pref_attempted:                  94856
% 4.01/0.95  stat_clsubs_top_meta_pref1_succeeded:                 34966
% 4.01/0.95  stat_clsubs_top_meta_pref2_succeeded:                 12356
% 4.01/0.95  stat_clsubs_top_meta_pref3_succeeded:                  9885
% 4.01/0.95  stat_clsubs_top_meta_pref_succeeded:                   9885
% 4.01/0.95  stat_clsubs_meta_attempted:                20768
% 4.01/0.95  stat_clsubs_meta_failed:                    5769
% 4.01/0.95  stat_clsubs_predsymbs_attempted:               0
% 4.01/0.95  stat_clsubs_unit_attempted:                 2506
% 4.01/0.95  stat_clsubs_full_attempted:                 7379
% 4.01/0.95  stat_forwardsubs_attempted:                10733
% 4.01/0.95  stat_lit_hash_added:                   4630
% 4.01/0.95  stat_lit_hash_computed:               62081
% 4.01/0.95  stat_lit_hash_match_found:             1911
% 4.01/0.95  stat_lit_hash_match_miss:             83127
% 4.01/0.95  stat_lit_hash_cut_ok:                    57
% 4.01/0.95  stat_lit_strong_cut_ok:                   4
% 4.01/0.95  stat_lit_hash_subsume_ok:              1688
% 4.01/0.95  clqueue els 10000000 used 1
% 4.01/0.95  clactive els 10000000 used 627
% 4.01/0.95  clactivesubsume els 10000000 used 3061
% 4.01/0.95  queue_termbuf els 200000000 used 358528
% 4.01/0.95  hyper_termbuf els 100000000 used 1
% 4.01/0.95  active_termbuf els 100000000 used 17787
% 4.01/0.95  varstack els 5000 last used 1
% 4.01/0.95  given_termbuf els 10000000 last used 1
% 4.01/0.95  simplified_termbuf els 10000000 last used 1
% 4.01/0.95  derived_termbuf els 10000000 last used 34
% 4.01/0.95  wr_mallocs: 8562
% 4.01/0.95  wr_callocs: 21
% 4.01/0.95  wr_reallocs: 1280
% 4.01/0.95  wr_frees: 2
% 4.01/0.95  wr_malloc_bytes: 4162877732
% 4.01/0.95  wr_calloc_bytes: 112065536
% 4.01/0.95  wr_realloc_bytes: 311416
% 4.01/0.95  wr_realloc_freebytes: 0
% 4.01/0.95  ----------------------------------
% 4.01/0.95  
% 4.01/0.95  
% 4.01/0.95  fork 5: search terminated without proof.
%------------------------------------------------------------------------------