TSTP Solution File: BOO004-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.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 18:08:25 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_distributivity6')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,V,W)
    | ~ sum(X2006,V,Y)
    | ~ sum(X2006,U,X)
    | sum(X2006,W,Z) ),
    inference(cnf_transformation,[],['$inc_distributivity6']) ).

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

cnf('3',plain,
    product(multiplicative_identity,X,X),
    inference(cnf_transformation,[],['$inc_multiplicative_identity1']) ).

cnf('4',plain,
    product(X,multiplicative_identity,X),
    inference(resolution,[],['2','3']) ).

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

cnf('6',plain,
    product(multiplicative_identity,X,X),
    inference(cnf_transformation,[],['$inc_multiplicative_identity1']) ).

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

cnf('8',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('9',plain,
    ~ sum(x,x,x),
    inference(cnf_transformation,[],[prove_both_equalities]) ).

cnf('10',plain,
    ( ~ product(X,Y,x)
    | ~ product(X,Z,x)
    | ~ product(X,U,x)
    | ~ sum(Y,Z,U) ),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    ( ~ product(X,Y,x)
    | ~ product(X,Z,x)
    | ~ sum(Z,Z,Y) ),
    inference(factorization,[],['10']) ).

cnf('12',plain,
    ( ~ sum(multiplicative_identity,multiplicative_identity,X)
    | ~ product(x,X,x) ),
    inference(resolution,[],['11','4']) ).

cnf('13',plain,
    ( ~ sum(X,Y,Z)
    | sum(Y,X,Z) ),
    inference(cnf_transformation,[],['$inc_commutativity_of_addition']) ).

cnf('14',plain,
    sum(X,Y,add(X,Y)),
    inference(cnf_transformation,[],['$inc_closure_of_addition']) ).

cnf('15',plain,
    sum(X,Y,add(Y,X)),
    inference(resolution,[],['13','14']) ).

cnf('16',plain,
    ~ product(x,add(multiplicative_identity,multiplicative_identity),x),
    inference(resolution,[],['12','15']) ).

cnf('17',plain,
    ( ~ product(X,Y,Z)
    | ~ sum(Z,U,V)
    | ~ sum(Y,U,W)
    | ~ sum(X,U,X2006)
    | product(X2006,W,V) ),
    inference(cnf_transformation,[],['$inc_distributivity7']) ).

cnf('18',plain,
    ( ~ sum(X,Y,add(multiplicative_identity,multiplicative_identity))
    | ~ product(Z,X,U)
    | ~ sum(U,Y,x)
    | ~ sum(Z,Y,x) ),
    inference(resolution,[],['16','17']) ).

cnf('19',plain,
    ( ~ sum(multiplicative_identity,X,add(multiplicative_identity,multiplicative_identity))
    | ~ sum(Y,X,x) ),
    inference(resolution,[],['18','4']) ).

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

cnf('21',plain,
    sum(X,additive_identity,X),
    inference(resolution,[],['13','20']) ).

cnf('22',plain,
    ~ sum(multiplicative_identity,additive_identity,add(multiplicative_identity,multiplicative_identity)),
    inference(resolution,[],['19','21']) ).

cnf('23',plain,
    ( ~ product(X,X,Y)
    | ~ product(Z,Z,U)
    | ~ sum(V,X,Z)
    | sum(V,Y,U) ),
    inference(factorization,[],['1']) ).

cnf('24',plain,
    ( ~ product(X,X,Y)
    | ~ sum(Z,multiplicative_identity,X)
    | sum(Z,multiplicative_identity,Y) ),
    inference(resolution,[],['23','4']) ).

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

cnf('26',plain,
    product(X,Y,multiply(Y,X)),
    inference(resolution,[],['2','25']) ).

cnf('27',plain,
    ( sum(X,multiplicative_identity,multiply(Y,Y))
    | ~ sum(X,multiplicative_identity,Y) ),
    inference(resolution,[],['24','26']) ).

cnf('28',plain,
    sum(X,multiplicative_identity,multiply(add(multiplicative_identity,X),add(multiplicative_identity,X))),
    inference(resolution,[],['27','15']) ).

cnf('29',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_addition_is_well_defined']) ).

cnf('30',plain,
    ( add(X,Y) = Z
    | ~ sum(X,Y,Z) ),
    inference(resolution,[],['29','14']) ).

cnf('31',plain,
    add(X,multiplicative_identity) = multiply(add(multiplicative_identity,X),add(multiplicative_identity,X)),
    inference(resolution,[],['28','30']) ).

cnf('32',plain,
    sum(X,multiplicative_identity,multiply(add(X,multiplicative_identity),add(X,multiplicative_identity))),
    inference(resolution,[],['27','14']) ).

cnf('33',plain,
    sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),
    inference(paramodulation,[],['31','32']) ).

cnf('34',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_multiplication_is_well_defined']) ).

cnf('35',plain,
    ( ~ product(X,multiplicative_identity,Y)
    | Y = X ),
    inference(resolution,[],['34','4']) ).

cnf('36',plain,
    product(inverse(X),X,additive_identity),
    inference(cnf_transformation,[],['$inc_multiplicative_inverse1']) ).

cnf('37',plain,
    additive_identity = inverse(multiplicative_identity),
    inference(resolution,[],['35','36']) ).

cnf('38',plain,
    sum(X,inverse(X),multiplicative_identity),
    inference(cnf_transformation,[],['$inc_additive_inverse2']) ).

cnf('39',plain,
    sum(multiplicative_identity,additive_identity,multiplicative_identity),
    inference(paramodulation,[],['37','38']) ).

cnf('40',plain,
    $false,
    inference(resolution,[then_simplify],['7','22','33','39']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 08:22:34 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.43  
% 0.21/0.43  input clause set summed statistics:
% 0.21/0.43  ----------------------------------
% 0.21/0.43  in_clause_count:                    23
% 0.21/0.43  in_rule_clause_count:               19
% 0.21/0.43  in_fact_clause_count:                4
% 0.21/0.43  in_answer_clause_count:              0
% 0.21/0.43  in_ground_clause_count:              1
% 0.21/0.43  in_unit_clause_count:               11
% 0.21/0.43  in_horn_clause_count:               23
% 0.21/0.43  in_pos_clause_count:                10
% 0.21/0.43  in_neg_clause_count:                 1
% 0.21/0.43  in_poseq_clause_count:               2
% 0.21/0.43  in_negeq_clause_count:               0
% 0.21/0.43  in_unitposeq_clause_count:           0
% 0.21/0.43  in_chain_clause_count:               0
% 0.21/0.43  in_min_length:             1
% 0.21/0.43  in_max_length:             5
% 0.21/0.43  in_min_depth:              1
% 0.21/0.43  in_max_depth:              2
% 0.21/0.43  in_min_size:               4
% 0.21/0.43  in_max_size:              20
% 0.21/0.43  in_min_vars:               0
% 0.21/0.43  in_max_vars:               7
% 0.21/0.43  in_extaxiom_count:                22
% 0.21/0.43  in_axiom_count:                    0
% 0.21/0.43  in_assumption_count:               0
% 0.21/0.43  in_goal_count:                     1
% 0.21/0.43  in_neg_goal_count:                 1
% 0.21/0.43  in_pos_goal_count:                 0
% 0.21/0.43  in_posunit_goal_count:             0
% 0.21/0.43  
% 0.21/0.43  auto guide:
% 0.21/0.43  -----------
% 0.21/0.43  {
% 0.21/0.43  "print":1,
% 0.21/0.43  "print_level": 15,
% 0.21/0.43  "max_size": 0,
% 0.21/0.43  "max_depth": 0,
% 0.21/0.43  "max_length": 0,
% 0.21/0.43  "max_dseconds": 0,
% 0.21/0.43  "runs":[
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.43  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.43  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.43  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.43  {"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},
% 0.21/0.43  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.43  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.43  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.43  {"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},
% 0.21/0.43  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.43  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.43  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.43  
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% 0.21/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.43  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.21/0.43  {"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},
% 0.21/0.43  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.43  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.43  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.43  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.43  
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.43  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.43  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.43  
% 0.21/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.44  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.21/0.44  
% 0.21/0.44  ]}
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  **** run 1 fork 0 starts with strategy
% 0.21/0.44  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.44  
% 0.21/0.44  **** run 2 fork 1 starts with strategy
% 0.21/0.44  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.44  
% 0.21/0.44  **** run 3 fork 2 starts with strategy
% 0.21/0.44  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.44  
% 0.21/0.44  **** run 4 fork 3 starts with strategy
% 0.21/0.44  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.45  
% 0.21/0.45  **** run 5 fork 4 starts with strategy
% 0.21/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.45  
% 0.21/0.45  **** run 6 fork 5 starts with strategy
% 0.21/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.45  
% 0.21/0.45  **** run 7 fork 6 starts with strategy
% 0.21/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.45  
% 0.21/0.45  **** run 8 fork 7 starts with strategy
% 0.21/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.46  
% 0.21/0.46  fork 3: search finished without proof.
% 0.21/0.49  
% 0.21/0.49  **** run 12 fork 3 starts with strategy
% 0.21/0.49  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.21/0.54  
% 0.21/0.54  fork 0: search finished without proof.
% 0.21/0.54  
% 0.21/0.54  fork 1: search finished without proof.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  fork 2: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 4: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 5: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 7: search terminated without proof.
% 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}
% 0.21/0.56  
% 0.21/0.56  **** run 9 fork 0 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.57  
% 0.21/0.57  **** run 16 fork 7 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.57  
% 0.21/0.57  **** run 11 fork 2 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.57  
% 0.21/0.57  **** run 14 fork 5 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 13 fork 4 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  result: proof found
% 0.21/0.59  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.59  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.59  
% 0.21/0.59  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.21/0.59  
% 0.21/0.59  run 7 fork 6 statistics:
% 0.21/0.59  ----------------------------------
% 0.21/0.59  this run seconds: 0.084781
% 0.21/0.59  total seconds: 0.086381
% 0.21/0.59  stat_given_used: 695
% 0.21/0.59  stat_given_used_at_endgame: 0
% 0.21/0.59  stat_given_candidates:   3174
% 0.21/0.59  stat_given_candidates_at_endgame: 0
% 0.21/0.59  stat_given_candidates_h: 0
% 0.21/0.59  stat_binres_derived_cl:   9047
% 0.21/0.59  stat_binres_derived_cl_h: 0
% 0.21/0.59  stat_factor_derived_cl: 142
% 0.21/0.59  stat_para_derived_cl: 1886
% 0.21/0.59  stat_tautologies_discarded: 79
% 0.21/0.59  stat_forward_subsumed: 2685
% 0.21/0.59  stat_derived_cut: 51
% 0.21/0.59  stat_derived_rewritten: 72
% 0.21/0.59  stat_weight_discarded_building: 0
% 0.21/0.59  stat_weight_discarded_cl: 2356
% 0.21/0.59  stat_internlimit_discarded_cl: 0
% 0.21/0.59  stat_simplified:  72 simplified 0 derived 0 given
% 0.21/0.59  stat_kept_cl: 5738
% 0.21/0.59  stat_built_cl: 9556
% 0.21/0.59  stat_hyperres_partial_cl: 0
% 0.21/0.59  stat_made_rewriters: 37
% 0.21/0.59  stat_backward_subsumed: 0
% 0.21/0.59  stat_propagated_subsumed: 0
% 0.21/0.59  stat_clsubs_attempted:                     35451
% 0.21/0.59  stat_clsubs_fact_groundunit_found:             5
% 0.21/0.59  stat_clsubs_rule_groundunit_found:            12
% 0.21/0.59  stat_clsubs_top_meta_attempted:             667375
% 0.21/0.59  stat_clsubs_top_meta_failed:                631924
% 0.21/0.59  stat_clsubs_top_meta_nonpref_attempted:              667375
% 0.21/0.59  stat_clsubs_top_meta_nonpref_succeeded:              157550
% 0.21/0.59  stat_clsubs_top_meta_pref_attempted:                 157550
% 0.21/0.59  stat_clsubs_top_meta_pref1_succeeded:                 62043
% 0.21/0.59  stat_clsubs_top_meta_pref2_succeeded:                 37053
% 0.21/0.59  stat_clsubs_top_meta_pref3_succeeded:                 35451
% 0.21/0.59  stat_clsubs_top_meta_pref_succeeded:                  35451
% 0.21/0.59  stat_clsubs_meta_attempted:                98527
% 0.21/0.59  stat_clsubs_meta_failed:                   37387
% 0.21/0.59  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.59  stat_clsubs_unit_attempted:                 4249
% 0.21/0.59  stat_clsubs_full_attempted:                31202
% 0.21/0.59  stat_forwardsubs_attempted:                10780
% 0.21/0.59  stat_lit_hash_added:                   4611
% 0.21/0.59  stat_lit_hash_computed:               59983
% 0.21/0.59  stat_lit_hash_match_found:             2926
% 0.21/0.59  stat_lit_hash_match_miss:             79248
% 0.21/0.59  stat_lit_hash_cut_ok:                    31
% 0.21/0.59  stat_lit_strong_cut_ok:                  30
% 0.21/0.59  stat_lit_hash_subsume_ok:              2685
% 0.21/0.59  clqueue els 10000000 used 1
% 0.21/0.59  clactive els 10000000 used 696
% 0.21/0.59  clactivesubsume els 10000000 used 3649
% 0.21/0.59  queue_termbuf els 200000000 used 306341
% 0.21/0.59  hyper_termbuf els 100000000 used 1
% 0.21/0.59  active_termbuf els 100000000 used 22839
% 0.21/0.59  varstack els 5000 last used 1
% 0.21/0.59  given_termbuf els 10000000 last used 1
% 0.21/0.59  simplified_termbuf els 10000000 last used 1
% 0.21/0.59  derived_termbuf els 10000000 last used 41
% 0.21/0.59  wr_mallocs: 9474
% 0.21/0.59  wr_callocs: 21
% 0.21/0.59  wr_reallocs: 1135
% 0.21/0.59  wr_frees: 2
% 0.21/0.59  wr_malloc_bytes: 4162907748
% 0.21/0.59  wr_calloc_bytes: 112065536
% 0.21/0.59  wr_realloc_bytes: 286320
% 0.21/0.59  wr_realloc_freebytes: 0
% 0.21/0.59  ----------------------------------
%------------------------------------------------------------------------------