TSTP Solution File: RNG001-5 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n013.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 13:53:31 EDT 2023

% Result   : Unsatisfiable 8.72s 1.60s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_multiplicative_identity_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ~ product(a,additive_identity,additive_identity),
    inference(cnf_transformation,[],[prove_multiplicative_identity_axiom]) ).

cnf('2',plain,
    ( ~ product(X,Y,Z)
    | product(X,Y,U)
    | ~ equalish(Z,U) ),
    inference(cnf_transformation,[],[product_substitution3]) ).

cnf('3',plain,
    ( ~ product(a,additive_identity,X)
    | ~ equalish(X,additive_identity) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],[closure_of_multiplication]) ).

cnf('5',plain,
    ~ equalish(multiply(a,additive_identity),additive_identity),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,Y,U)
    | equalish(Z,U) ),
    inference(cnf_transformation,[],[addition_is_well_defined]) ).

cnf('7',plain,
    ( ~ sum(X,Y,multiply(a,additive_identity))
    | ~ sum(X,Y,additive_identity) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    sum(X,additive_identity,X),
    inference(cnf_transformation,[],[additive_identity2]) ).

cnf('9',plain,
    ~ sum(multiply(a,additive_identity),additive_identity,additive_identity),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(Y,U,V)
    | ~ sum(Z,U,W)
    | sum(X,V,W) ),
    inference(cnf_transformation,[],[associativity_of_addition1]) ).

cnf('11',plain,
    ( ~ sum(multiply(a,additive_identity),X,Y)
    | ~ sum(Y,Z,additive_identity)
    | ~ sum(X,Z,additive_identity) ),
    inference(resolution,[],['9','10']) ).

cnf('12',plain,
    sum(X,Y,add(X,Y)),
    inference(cnf_transformation,[],[closure_of_addition]) ).

cnf('13',plain,
    ( ~ sum(add(multiply(a,additive_identity),X),Y,additive_identity)
    | ~ sum(X,Y,additive_identity) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    sum(X,additive_inverse(X),additive_identity),
    inference(cnf_transformation,[],[right_inverse]) ).

cnf('15',plain,
    ~ sum(X,additive_inverse(add(multiply(a,additive_identity),X)),additive_identity),
    inference(resolution,[],['13','14']) ).

cnf('16',plain,
    ( ~ sum(X,Y,Z)
    | sum(U,Y,Z)
    | ~ equalish(X,U) ),
    inference(cnf_transformation,[],[sum_substitution1]) ).

cnf('17',plain,
    ( ~ sum(X,additive_inverse(add(multiply(a,additive_identity),Y)),additive_identity)
    | ~ equalish(X,Y) ),
    inference(resolution,[],['15','16']) ).

cnf('18',plain,
    ~ equalish(add(multiply(a,additive_identity),X),X),
    inference(resolution,[],['17','14']) ).

cnf('19',plain,
    ( ~ sum(X,Y,add(multiply(a,additive_identity),Z))
    | ~ sum(X,Y,Z) ),
    inference(resolution,[],['18','6']) ).

cnf('20',plain,
    ~ sum(multiply(a,additive_identity),X,X),
    inference(resolution,[],['19','12']) ).

cnf('21',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,V)
    | ~ product(X,W,X2006)
    | ~ sum(Y,U,W)
    | sum(Z,V,X2006) ),
    inference(cnf_transformation,[],[distributivity1]) ).

cnf('22',plain,
    ( ~ product(X,Y,multiply(a,additive_identity))
    | ~ product(X,Z,U)
    | ~ product(X,V,U)
    | ~ sum(Y,V,Z) ),
    inference(resolution,[],['20','21']) ).

cnf('23',plain,
    ( ~ product(a,X,Y)
    | ~ product(a,Z,Y)
    | ~ sum(additive_identity,X,Z) ),
    inference(resolution,[],['22','4']) ).

cnf('24',plain,
    sum(additive_identity,X,X),
    inference(cnf_transformation,[],[additive_identity1]) ).

cnf('25',plain,
    ~ product(a,X,Y),
    inference(factorization,[then_simplify],['23','24']) ).

cnf('26',plain,
    $false,
    inference(resolution,[],['25','4']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 02:25:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                    30
% 0.20/0.39  in_rule_clause_count:               27
% 0.20/0.39  in_fact_clause_count:                3
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              1
% 0.20/0.39  in_unit_clause_count:                8
% 0.20/0.39  in_horn_clause_count:               30
% 0.20/0.39  in_pos_clause_count:                 7
% 0.20/0.39  in_neg_clause_count:                 1
% 0.20/0.39  in_poseq_clause_count:               0
% 0.20/0.39  in_negeq_clause_count:               0
% 0.20/0.39  in_unitposeq_clause_count:           0
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             5
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              2
% 0.20/0.39  in_min_size:               3
% 0.20/0.39  in_max_size:              20
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               7
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                   29
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "equality":0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  
% 0.20/0.39  **** run 8 fork 7 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.44  
% 0.20/0.44  fork 1: search finished without proof.
% 0.20/0.46  
% 0.20/0.46  **** run 10 fork 1 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 0: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 2: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 5: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 7: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 4: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  fork 3: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 6: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  **** run 14 fork 5 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 13 fork 4 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.54  
% 0.20/0.54  **** run 9 fork 0 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.55  
% 0.20/0.55  **** run 12 fork 3 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 16 fork 7 starts with strategy
% 0.20/0.55  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  fork 1: search terminated without proof.
% 0.20/0.60  
% 0.20/0.60  **** run 18 fork 1 starts with strategy
% 0.20/0.60  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 5: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 4: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 0: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 2: search terminated without proof.
% 0.20/0.67  
% 0.20/0.67  
% 0.20/0.67  fork 7: search terminated without proof.
% 0.20/0.67  
% 0.20/0.67  
% 0.20/0.67  fork 6: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  **** run 22 fork 5 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.68  
% 0.20/0.68  **** run 21 fork 4 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.68  
% 0.20/0.68  **** run 17 fork 0 starts with strategy
% 0.20/0.68  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.20/0.68  
% 0.20/0.68  **** run 19 fork 2 starts with strategy
% 0.20/0.68  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.69  
% 0.20/0.69  **** run 23 fork 6 starts with strategy
% 0.20/0.69  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.20/0.69  
% 0.20/0.69  **** run 24 fork 7 starts with strategy
% 0.20/0.69  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.70  
% 0.20/0.70  fork 3: search finished without proof.
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  fork 1: search terminated without proof.
% 0.20/0.74  
% 0.20/0.74  **** run 20 fork 3 starts with strategy
% 0.20/0.74  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.75  
% 0.20/0.75  **** run 26 fork 1 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  fork 4: search terminated without proof.
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  fork 2: search terminated without proof.
% 3.19/0.81  
% 3.19/0.81  
% 3.19/0.81  fork 6: search terminated without proof.
% 3.19/0.82  
% 3.19/0.82  
% 3.19/0.82  fork 5: search terminated without proof.
% 3.19/0.82  
% 3.19/0.82  **** run 29 fork 4 starts with strategy
% 3.19/0.82  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 3.19/0.82  
% 3.19/0.82  **** run 27 fork 2 starts with strategy
% 3.19/0.82  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 3.19/0.82  
% 3.19/0.82  
% 3.19/0.82  fork 7: search terminated without proof.
% 3.19/0.83  
% 3.19/0.83  **** run 31 fork 6 starts with strategy
% 3.19/0.83  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.19/0.84  
% 3.19/0.84  **** run 30 fork 5 starts with strategy
% 3.19/0.84  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 3.19/0.85  
% 3.19/0.85  
% 3.19/0.85  fork 0: search terminated without proof.
% 3.19/0.85  
% 3.19/0.85  **** run 32 fork 7 starts with strategy
% 3.19/0.85  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 3.82/0.87  
% 3.82/0.87  **** run 25 fork 0 starts with strategy
% 3.82/0.87  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.82/0.87  
% 3.82/0.87  
% 3.82/0.87  fork 1: search terminated without proof.
% 3.82/0.89  
% 3.82/0.89  **** run 34 fork 1 starts with strategy
% 3.82/0.89  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 3.82/0.90  
% 3.82/0.90  
% 3.82/0.90  fork 3: search terminated without proof.
% 4.19/0.92  
% 4.19/0.92  **** run 28 fork 3 starts with strategy
% 4.19/0.92  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 4.19/0.93  
% 4.19/0.93  
% 4.19/0.93  fork 2: search terminated without proof.
% 4.43/0.95  
% 4.43/0.95  **** run 35 fork 2 starts with strategy
% 4.43/0.95  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.43/0.95  
% 4.43/0.95  fork 5: search finished without proof.
% 4.43/0.97  
% 4.43/0.97  fork 7: search finished without proof.
% 4.43/0.97  
% 4.43/0.97  
% 4.43/0.97  fork 6: search terminated without proof.
% 4.43/0.97  
% 4.43/0.97  **** run 38 fork 5 starts with strategy
% 4.43/0.97  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.43/0.98  
% 4.43/0.98  **** run 40 fork 7 starts with strategy
% 4.43/0.98  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 4.43/0.99  
% 4.43/0.99  
% 4.43/0.99  fork 0: search terminated without proof.
% 4.43/0.99  
% 4.43/0.99  **** run 39 fork 6 starts with strategy
% 4.43/0.99  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 4.43/1.01  
% 4.43/1.01  fork 7: search finished without proof.
% 4.43/1.01  
% 4.43/1.01  
% 4.43/1.01  fork 1: search terminated without proof.
% 4.43/1.01  
% 4.43/1.01  **** run 33 fork 0 starts with strategy
% 4.43/1.01  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 4.43/1.02  
% 4.43/1.02  **** run 48 fork 7 starts with strategy
% 4.43/1.02  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 4.43/1.03  
% 4.43/1.03  **** run 42 fork 1 starts with strategy
% 4.43/1.03  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.99/1.04  
% 4.99/1.04  
% 4.99/1.04  fork 3: search terminated without proof.
% 4.99/1.05  
% 4.99/1.05  **** run 36 fork 3 starts with strategy
% 4.99/1.05  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.99/1.07  
% 4.99/1.07  
% 4.99/1.07  fork 2: search terminated without proof.
% 5.31/1.09  
% 5.31/1.09  **** run 43 fork 2 starts with strategy
% 5.31/1.09  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.31/1.09  
% 5.31/1.09  
% 5.31/1.09  fork 5: search terminated without proof.
% 5.31/1.10  
% 5.31/1.10  **** run 46 fork 5 starts with strategy
% 5.31/1.10  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.31/1.13  
% 5.31/1.13  
% 5.31/1.13  fork 0: search terminated without proof.
% 5.80/1.15  
% 5.80/1.15  **** run 41 fork 0 starts with strategy
% 5.80/1.15  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.92/1.17  
% 5.92/1.17  
% 5.92/1.17  fork 3: search terminated without proof.
% 5.92/1.19  
% 5.92/1.19  **** run 44 fork 3 starts with strategy
% 5.92/1.19  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 8.72/1.60  
% 8.72/1.60  
% 8.72/1.60  result: proof found
% 8.72/1.60  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 8.72/1.60  by run 29 fork 4 strategy {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 8.72/1.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 8.72/1.60  
% 8.72/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 8.72/1.60  
% 8.72/1.60  run 29 fork 4 statistics:
% 8.72/1.60  ----------------------------------
% 8.72/1.60  this run seconds: 0.054022
% 8.72/1.60  total seconds: 0.498589
% 8.72/1.60  stat_given_used: 1472
% 8.72/1.60  stat_given_used_at_endgame: 0
% 8.72/1.60  stat_given_candidates:   1834
% 8.72/1.60  stat_given_candidates_at_endgame: 0
% 8.72/1.60  stat_given_candidates_h: 0
% 8.72/1.60  stat_binres_derived_cl:   4319
% 8.72/1.60  stat_binres_derived_cl_h: 0
% 8.72/1.60  stat_factor_derived_cl: 59
% 8.72/1.60  stat_para_derived_cl: 0
% 8.72/1.60  stat_tautologies_discarded: 0
% 8.72/1.60  stat_forward_subsumed: 1267
% 8.72/1.60  stat_derived_cut: 2
% 8.72/1.60  stat_derived_rewritten: 0
% 8.72/1.60  stat_weight_discarded_building: 0
% 8.72/1.60  stat_weight_discarded_cl: 0
% 8.72/1.60  stat_internlimit_discarded_cl: 0
% 8.72/1.60  stat_simplified:  0 simplified 0 derived 0 given
% 8.72/1.60  stat_kept_cl: 3110
% 8.72/1.60  stat_built_cl: 6112
% 8.72/1.60  stat_hyperres_partial_cl: 0
% 8.72/1.60  stat_made_rewriters: 0
% 8.72/1.60  stat_backward_subsumed: 0
% 8.72/1.60  stat_propagated_subsumed: 0
% 8.72/1.60  stat_clsubs_attempted:                    100728
% 8.72/1.60  stat_clsubs_fact_groundunit_found:             0
% 8.72/1.60  stat_clsubs_rule_groundunit_found:            44
% 8.72/1.60  stat_clsubs_top_meta_attempted:            1160707
% 8.72/1.60  stat_clsubs_top_meta_failed:               1059979
% 8.72/1.60  stat_clsubs_top_meta_nonpref_attempted:             1160707
% 8.72/1.60  stat_clsubs_top_meta_nonpref_succeeded:              283695
% 8.72/1.60  stat_clsubs_top_meta_pref_attempted:                 283695
% 8.72/1.60  stat_clsubs_top_meta_pref1_succeeded:                151851
% 8.72/1.60  stat_clsubs_top_meta_pref2_succeeded:                108301
% 8.72/1.60  stat_clsubs_top_meta_pref3_succeeded:                100728
% 8.72/1.60  stat_clsubs_top_meta_pref_succeeded:                 100728
% 8.72/1.60  stat_clsubs_meta_attempted:               176957
% 8.72/1.60  stat_clsubs_meta_failed:                   99260
% 8.72/1.60  stat_clsubs_predsymbs_attempted:               0
% 8.72/1.60  stat_clsubs_unit_attempted:                35553
% 8.72/1.60  stat_clsubs_full_attempted:                65175
% 8.72/1.60  stat_forwardsubs_attempted:                 4377
% 8.72/1.60  stat_lit_hash_added:                   4329
% 8.72/1.60  stat_lit_hash_computed:               24199
% 8.72/1.60  stat_lit_hash_match_found:             1316
% 8.72/1.60  stat_lit_hash_match_miss:             27792
% 8.72/1.60  stat_lit_hash_cut_ok:                     0
% 8.72/1.60  stat_lit_strong_cut_ok:                   2
% 8.72/1.60  stat_lit_hash_subsume_ok:              1267
% 8.72/1.60  clqueue els 10000000 used 1
% 8.72/1.60  clactive els 10000000 used 1502
% 8.72/1.60  clactivesubsume els 10000000 used 8527
% 8.72/1.60  queue_termbuf els 200000000 used 178856
% 8.72/1.60  hyper_termbuf els 100000000 used 1
% 8.72/1.60  active_termbuf els 100000000 used 59432
% 8.72/1.60  varstack els 5000 last used 1
% 8.72/1.60  given_termbuf els 10000000 last used 1
% 8.72/1.60  simplified_termbuf els 10000000 last used 1
% 8.72/1.60  derived_termbuf els 10000000 last used 5
% 8.72/1.60  wr_mallocs: 7586
% 8.72/1.60  wr_callocs: 21
% 8.72/1.60  wr_reallocs: 972
% 8.72/1.60  wr_frees: 2
% 8.72/1.60  wr_malloc_bytes: 4162848804
% 8.72/1.60  wr_calloc_bytes: 112065536
% 8.72/1.60  wr_realloc_bytes: 203656
% 8.72/1.60  wr_realloc_freebytes: 0
% 8.72/1.60  ----------------------------------
%------------------------------------------------------------------------------