TSTP Solution File: RNG005-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n012.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 13:53:33 EDT 2023

% Result   : Unsatisfiable 3.76s 0.89s
% Output   : CNFRefutation 3.76s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_distributivity4')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ sum(V,Z,W)
    | ~ sum(U,X,X2006)
    | product(X2006,Y,W) ),
    inference(cnf_transformation,[],['$inc_distributivity4']) ).

cnf('2',plain,
    product(additive_inverse(a),b,c),
    inference(cnf_transformation,[],[a_inverse_times_b]) ).

cnf('3',plain,
    ( ~ sum(X,additive_inverse(a),Y)
    | ~ product(X,b,Z)
    | ~ sum(Z,c,U)
    | product(Y,b,U) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    sum(X,additive_inverse(X),additive_identity),
    inference(cnf_transformation,[],['$inc_right_inverse']) ).

cnf('5',plain,
    ( ~ product(a,b,X)
    | product(additive_identity,b,Y)
    | ~ sum(X,c,Y) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    product(a,b,d),
    inference(cnf_transformation,[],[a_times_b]) ).

cnf('7',plain,
    ( ~ sum(d,c,X)
    | product(additive_identity,b,X) ),
    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,add(X,Y)),
    inference(cnf_transformation,[],['$inc_closure_of_addition']) ).

cnf('10',plain,
    sum(X,Y,add(Y,X)),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    product(additive_identity,b,add(c,d)),
    inference(resolution,[],['7','10']) ).

cnf('12',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,Y,X2006)
    | ~ sum(W,U,X)
    | sum(X2006,V,Z) ),
    inference(cnf_transformation,[],['$inc_distributivity3']) ).

cnf('13',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ sum(X,U,U)
    | sum(Z,V,V) ),
    inference(factorization,[],['12']) ).

cnf('14',plain,
    ( ~ product(X,Y,Z)
    | ~ sum(X,X,X)
    | sum(Z,Z,Z) ),
    inference(factorization,[],['13']) ).

cnf('15',plain,
    sum(X,additive_identity,X),
    inference(cnf_transformation,[],['$inc_additive_identity2']) ).

cnf('16',plain,
    ( ~ product(additive_identity,X,Y)
    | sum(Y,Y,Y) ),
    inference(resolution,[],['14','15']) ).

cnf('17',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_closure_of_multiplication']) ).

cnf('18',plain,
    sum(multiply(additive_identity,X),multiply(additive_identity,X),multiply(additive_identity,X)),
    inference(resolution,[],['16','17']) ).

cnf('19',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(U,Y,V)
    | ~ sum(W,U,X)
    | sum(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity_of_addition1']) ).

cnf('20',plain,
    ( ~ sum(X,additive_inverse(Y),Z)
    | ~ sum(U,X,Y)
    | sum(U,Z,additive_identity) ),
    inference(resolution,[],['19','4']) ).

cnf('21',plain,
    ( ~ sum(X,Y,Y)
    | sum(X,additive_identity,additive_identity) ),
    inference(resolution,[],['20','4']) ).

cnf('22',plain,
    sum(multiply(additive_identity,X),additive_identity,additive_identity),
    inference(resolution,[],['18','21']) ).

cnf('23',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_addition_is_well_defined']) ).

cnf('24',plain,
    sum(additive_identity,X,X),
    inference(cnf_transformation,[],['$inc_additive_identity1']) ).

cnf('25',plain,
    sum(X,additive_identity,X),
    inference(resolution,[],['8','24']) ).

cnf('26',plain,
    ( ~ sum(X,additive_identity,Y)
    | Y = X ),
    inference(resolution,[],['23','25']) ).

cnf('27',plain,
    add(X,additive_identity) = X,
    inference(resolution,[],['26','9']) ).

cnf('28',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(U,Z,V)
    | ~ sum(U,X,W)
    | sum(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity_of_addition2']) ).

cnf('29',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,Y,U)
    | sum(Z,additive_identity,U) ),
    inference(resolution,[],['28','15']) ).

cnf('30',plain,
    ( sum(add(X,Y),additive_identity,Z)
    | ~ sum(Y,X,Z) ),
    inference(resolution,[],['29','10']) ).

cnf('31',plain,
    sum(add(X,Y),additive_identity,add(Y,X)),
    inference(resolution,[],['30','9']) ).

cnf('32',plain,
    ( ~ sum(add(X,Y),additive_identity,Z)
    | Z = add(Y,X) ),
    inference(resolution,[],['31','23']) ).

cnf('33',plain,
    ( Y3 = add(additive_identity,X3)
    | ~ sum(X3,additive_identity,Y3) ),
    inference(paramodulation,[],['27','32']) ).

cnf('34',plain,
    add(additive_identity,X) = X,
    inference(resolution,[],['26','10']) ).

cnf('35',plain,
    ( X = Y
    | ~ sum(Y,additive_identity,X) ),
    inference(simplify,[],['33','34']) ).

cnf('36',plain,
    additive_identity = multiply(additive_identity,X),
    inference(resolution,[],['22','35']) ).

cnf('37',plain,
    product(additive_identity,X,additive_identity),
    inference(paramodulation,[],['36','17']) ).

cnf('38',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity_of_multiplication2']) ).

cnf('39',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,U,Y)
    | product(Z,U,Z) ),
    inference(factorization,[],['38']) ).

cnf('40',plain,
    ( ~ product(X,additive_identity,Y)
    | product(Y,Z,Y) ),
    inference(resolution,[],['37','39']) ).

cnf('41',plain,
    product(multiply(X,additive_identity),Y,multiply(X,additive_identity)),
    inference(resolution,[],['40','17']) ).

cnf('42',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_multiplication_is_well_defined']) ).

cnf('43',plain,
    ( ~ product(multiply(X,additive_identity),Y,Z)
    | Z = multiply(X,additive_identity) ),
    inference(resolution,[],['41','42']) ).

cnf('44',plain,
    ( Y3 = multiply(additive_identity,additive_identity)
    | ~ product(additive_identity,X3,Y3) ),
    inference(paramodulation,[],['36','43']) ).

cnf('45',plain,
    ( X = additive_identity
    | ~ product(additive_identity,Y,X) ),
    inference(simplify,[],['44','36']) ).

cnf('46',plain,
    add(c,d) = additive_identity,
    inference(resolution,[],['11','45']) ).

cnf('47',plain,
    ~ sum(c,d,additive_identity),
    inference(cnf_transformation,[],[prove_sum_is_additive_id]) ).

cnf('48',plain,
    $false,
    inference(paramodulation,[then_simplify],['46','9','47']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 01:28:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    20
% 0.19/0.38  in_rule_clause_count:               17
% 0.19/0.38  in_fact_clause_count:                3
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              3
% 0.19/0.38  in_unit_clause_count:                9
% 0.19/0.38  in_horn_clause_count:               20
% 0.19/0.38  in_pos_clause_count:                 8
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:               2
% 0.19/0.38  in_negeq_clause_count:               0
% 0.19/0.38  in_unitposeq_clause_count:           0
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             5
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              2
% 0.19/0.38  in_min_size:               4
% 0.19/0.38  in_max_size:              20
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               7
% 0.19/0.38  in_extaxiom_count:                17
% 0.19/0.38  in_axiom_count:                    0
% 0.19/0.38  in_assumption_count:               2
% 0.19/0.38  in_goal_count:                     1
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.38  {"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":50},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.43  
% 0.19/0.43  fork 3: search finished without proof.
% 0.19/0.46  
% 0.19/0.46  **** run 12 fork 3 starts with strategy
% 0.19/0.46  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.51  
% 0.19/0.51  fork 0: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 7: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 2: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 4: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 5: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 6: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 1: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 9 fork 0 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 15 fork 6 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 16 fork 7 starts with strategy
% 0.19/0.54  
% 0.19/0.54  **** run 14 fork 5 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 11 fork 2 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 13 fork 4 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 10 fork 1 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.58  
% 0.19/0.58  fork 3: search finished without proof.
% 0.19/0.60  
% 0.19/0.60  **** run 20 fork 3 starts with strategy
% 0.19/0.60  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 0: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 6: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 5: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 7: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 2: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 4: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  fork 1: search terminated without proof.
% 0.19/0.67  
% 0.19/0.67  **** run 23 fork 6 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.19/0.67  
% 0.19/0.67  **** run 17 fork 0 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.67  
% 0.19/0.67  **** run 22 fork 5 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 0.19/0.68  
% 0.19/0.68  **** run 19 fork 2 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.19/0.68  
% 0.19/0.68  **** run 21 fork 4 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.19/0.68  
% 0.19/0.68  **** run 24 fork 7 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.68  
% 0.19/0.68  **** run 18 fork 1 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  fork 5: search terminated without proof.
% 0.19/0.80  
% 0.19/0.80  
% 0.19/0.80  fork 4: search terminated without proof.
% 0.19/0.81  
% 0.19/0.81  
% 0.19/0.81  fork 0: search terminated without proof.
% 0.19/0.81  
% 0.19/0.81  
% 0.19/0.81  fork 6: search terminated without proof.
% 3.41/0.81  
% 3.41/0.81  **** run 30 fork 5 starts with strategy
% 3.41/0.81  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 3.41/0.81  
% 3.41/0.81  
% 3.41/0.81  fork 2: search terminated without proof.
% 3.41/0.82  
% 3.41/0.82  
% 3.41/0.82  fork 1: search terminated without proof.
% 3.41/0.82  
% 3.41/0.82  
% 3.41/0.82  fork 7: search terminated without proof.
% 3.41/0.82  
% 3.41/0.82  **** run 29 fork 4 starts with strategy
% 3.41/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.41/0.83  
% 3.41/0.83  **** run 31 fork 6 starts with strategy
% 3.41/0.83  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 3.41/0.83  
% 3.41/0.83  **** run 25 fork 0 starts with strategy
% 3.41/0.83  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.41/0.84  
% 3.41/0.84  **** run 27 fork 2 starts with strategy
% 3.41/0.84  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.41/0.84  
% 3.41/0.84  **** run 26 fork 1 starts with strategy
% 3.41/0.84  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.41/0.84  
% 3.41/0.84  **** run 32 fork 7 starts with strategy
% 3.41/0.84  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.76/0.89  
% 3.76/0.89  
% 3.76/0.89  result: proof found
% 3.76/0.89  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.76/0.89  by run 32 fork 7 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.76/0.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.76/0.89  
% 3.76/0.89  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 3.76/0.89  
% 3.76/0.89  run 32 fork 7 statistics:
% 3.76/0.89  ----------------------------------
% 3.76/0.89  this run seconds: 0.020606
% 3.76/0.89  total seconds: 0.501065
% 3.76/0.89  stat_given_used: 299
% 3.76/0.89  stat_given_used_at_endgame: 0
% 3.76/0.89  stat_given_candidates:   1217
% 3.76/0.89  stat_given_candidates_at_endgame: 0
% 3.76/0.89  stat_given_candidates_h: 0
% 3.76/0.89  stat_binres_derived_cl:   2201
% 3.76/0.89  stat_binres_derived_cl_h: 0
% 3.76/0.89  stat_factor_derived_cl: 78
% 3.76/0.89  stat_para_derived_cl: 396
% 3.76/0.89  stat_tautologies_discarded: 67
% 3.76/0.89  stat_forward_subsumed: 761
% 3.76/0.89  stat_derived_cut: 1
% 3.76/0.89  stat_derived_rewritten: 197
% 3.76/0.89  stat_weight_discarded_building: 0
% 3.76/0.89  stat_weight_discarded_cl: 459
% 3.76/0.89  stat_internlimit_discarded_cl: 0
% 3.76/0.89  stat_simplified:  197 simplified 0 derived 0 given
% 3.76/0.89  stat_kept_cl: 1289
% 3.76/0.89  stat_built_cl: 2543
% 3.76/0.89  stat_hyperres_partial_cl: 0
% 3.76/0.89  stat_made_rewriters: 7
% 3.76/0.89  stat_backward_subsumed: 0
% 3.76/0.89  stat_propagated_subsumed: 0
% 3.76/0.89  stat_clsubs_attempted:                     11167
% 3.76/0.89  stat_clsubs_fact_groundunit_found:             8
% 3.76/0.89  stat_clsubs_rule_groundunit_found:             2
% 3.76/0.89  stat_clsubs_top_meta_attempted:             124886
% 3.76/0.89  stat_clsubs_top_meta_failed:                113719
% 3.76/0.89  stat_clsubs_top_meta_nonpref_attempted:              124886
% 3.76/0.89  stat_clsubs_top_meta_nonpref_succeeded:               32958
% 3.76/0.89  stat_clsubs_top_meta_pref_attempted:                  32958
% 3.76/0.89  stat_clsubs_top_meta_pref1_succeeded:                 14356
% 3.76/0.89  stat_clsubs_top_meta_pref2_succeeded:                 11281
% 3.76/0.89  stat_clsubs_top_meta_pref3_succeeded:                 11167
% 3.76/0.89  stat_clsubs_top_meta_pref_succeeded:                  11167
% 3.76/0.89  stat_clsubs_meta_attempted:                21339
% 3.76/0.89  stat_clsubs_meta_failed:                    6835
% 3.76/0.89  stat_clsubs_predsymbs_attempted:               0
% 3.76/0.89  stat_clsubs_unit_attempted:                 2513
% 3.76/0.89  stat_clsubs_full_attempted:                 8654
% 3.76/0.89  stat_forwardsubs_attempted:                 2510
% 3.76/0.89  stat_lit_hash_added:                   1540
% 3.76/0.89  stat_lit_hash_computed:               12834
% 3.76/0.89  stat_lit_hash_match_found:              887
% 3.76/0.89  stat_lit_hash_match_miss:             15505
% 3.76/0.89  stat_lit_hash_cut_ok:                     1
% 3.76/0.89  stat_lit_strong_cut_ok:                   0
% 3.76/0.89  stat_lit_hash_subsume_ok:               761
% 3.76/0.89  clqueue els 10000000 used 1
% 3.76/0.89  clactive els 10000000 used 300
% 3.76/0.89  clactivesubsume els 10000000 used 1675
% 3.76/0.89  queue_termbuf els 200000000 used 69826
% 3.76/0.89  hyper_termbuf els 100000000 used 1
% 3.76/0.89  active_termbuf els 100000000 used 9688
% 3.76/0.89  varstack els 5000 last used 1
% 3.76/0.89  given_termbuf els 10000000 last used 1
% 3.76/0.89  simplified_termbuf els 10000000 last used 1
% 3.76/0.89  derived_termbuf els 10000000 last used 24
% 3.76/0.89  wr_mallocs: 2421
% 3.76/0.89  wr_callocs: 21
% 3.76/0.89  wr_reallocs: 438
% 3.76/0.89  wr_frees: 2
% 3.76/0.89  wr_malloc_bytes: 4162667684
% 3.76/0.89  wr_calloc_bytes: 112065536
% 3.76/0.89  wr_realloc_bytes: 72760
% 3.76/0.89  wr_realloc_freebytes: 0
% 3.76/0.89  ----------------------------------
%------------------------------------------------------------------------------