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GKC---0.8.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP048-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:52:07 EDT 2023

% Result   : Unsatisfiable 5.18s 1.07s
% Output   : CNFRefutation 5.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_product_substitution3')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | product(X,Y,U)
    | ~ equalish(Z,U) ),
    inference(cnf_transformation,[],['$inc_product_substitution3']) ).

cnf('2',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],['$inc_total_function2']) ).

cnf('3',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_total_function1']) ).

cnf('4',plain,
    ( equalish(X,multiply(Y,Z))
    | ~ product(Y,Z,X) ),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    product(identity,X,X),
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('6',plain,
    equalish(X,multiply(identity,X)),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ( product(X,Y,multiply(identity,Z))
    | ~ product(X,Y,Z) ),
    inference(resolution,[],['1','6']) ).

cnf('8',plain,
    product(inverse(X),X,identity),
    inference(cnf_transformation,[],['$inc_left_inverse']) ).

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

cnf('10',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity2']) ).

cnf('11',plain,
    ( ~ product(X,multiply(identity,identity),Y)
    | ~ product(X,inverse(Z),U)
    | product(U,Z,Y) ),
    inference(resolution,[],['9','10']) ).

cnf('12',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity1']) ).

cnf('13',plain,
    product(identity,X,X),
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('14',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,Z,U)
    | product(X,U,Z) ),
    inference(resolution,[],['12','13']) ).

cnf('15',plain,
    ( product(inverse(X),Y,Z)
    | ~ product(X,Z,Y) ),
    inference(resolution,[],['14','8']) ).

cnf('16',plain,
    product(inverse(inverse(X)),identity,X),
    inference(resolution,[],['15','8']) ).

cnf('17',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,U,Y)
    | product(Z,U,Z) ),
    inference(factorization,[],['10']) ).

cnf('18',plain,
    ( ~ product(identity,X,Y)
    | equalish(Y,X) ),
    inference(resolution,[],['2','5']) ).

cnf('19',plain,
    equalish(multiply(identity,X),X),
    inference(resolution,[],['18','3']) ).

cnf('20',plain,
    ( ~ product(X,Y,multiply(identity,Z))
    | product(X,Y,Z) ),
    inference(resolution,[],['1','19']) ).

cnf('21',plain,
    product(identity,multiply(identity,X),X),
    inference(resolution,[],['20','13']) ).

cnf('22',plain,
    ( product(X,multiply(identity,identity),X)
    | ~ product(Y,identity,X) ),
    inference(resolution,[],['17','21']) ).

cnf('23',plain,
    product(X,multiply(identity,identity),X),
    inference(resolution,[],['16','22']) ).

cnf('24',plain,
    ( ~ product(X,inverse(Y),Z)
    | product(Z,Y,X) ),
    inference(resolution,[],['11','23']) ).

cnf('25',plain,
    product(identity,X,inverse(inverse(X))),
    inference(resolution,[],['24','8']) ).

cnf('26',plain,
    product(identity,X,X),
    inference(resolution,[],['20','3']) ).

cnf('27',plain,
    ( ~ product(identity,X,Y)
    | product(identity,Y,X) ),
    inference(resolution,[],['14','26']) ).

cnf('28',plain,
    product(identity,inverse(inverse(X)),X),
    inference(resolution,[],['25','27']) ).

cnf('29',plain,
    product(X,inverse(X),identity),
    inference(resolution,[],['28','24']) ).

cnf('30',plain,
    ( ~ product(X,identity,Y)
    | product(Y,identity,Y) ),
    inference(resolution,[],['17','26']) ).

cnf('31',plain,
    product(X,identity,X),
    inference(resolution,[],['16','30']) ).

cnf('32',plain,
    equalish(a,b),
    inference(cnf_transformation,[],[a_equals_b]) ).

cnf('33',plain,
    ( ~ product(X,Y,a)
    | product(X,Y,b) ),
    inference(resolution,[],['1','32']) ).

cnf('34',plain,
    product(a,identity,b),
    inference(resolution,[],['31','33']) ).

cnf('35',plain,
    ( ~ product(X,identity,Y)
    | ~ product(X,Z,U)
    | product(Y,Z,U) ),
    inference(resolution,[],['10','13']) ).

cnf('36',plain,
    ( ~ product(a,X,Y)
    | product(b,X,Y) ),
    inference(resolution,[],['34','35']) ).

cnf('37',plain,
    product(b,inverse(a),identity),
    inference(resolution,[],['29','36']) ).

cnf('38',plain,
    product(inverse(b),identity,inverse(a)),
    inference(resolution,[],['37','15']) ).

cnf('39',plain,
    ( ~ product(X,identity,Y)
    | equalish(Y,X) ),
    inference(resolution,[],['31','2']) ).

cnf('40',plain,
    ~ equalish(inverse(a),inverse(b)),
    inference(cnf_transformation,[],[prove_inverse_substitution]) ).

cnf('41',plain,
    $false,
    inference(resolution,[then_simplify],['38','39','40']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP048-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13  % Command  : gkc %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Tue Aug 29 02:32:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  
% 0.13/0.38  input clause set summed statistics:
% 0.13/0.38  ----------------------------------
% 0.13/0.38  in_clause_count:                     9
% 0.13/0.38  in_rule_clause_count:                7
% 0.13/0.38  in_fact_clause_count:                2
% 0.13/0.38  in_answer_clause_count:              0
% 0.13/0.38  in_ground_clause_count:              2
% 0.13/0.38  in_unit_clause_count:                5
% 0.13/0.38  in_horn_clause_count:                9
% 0.13/0.38  in_pos_clause_count:                 4
% 0.13/0.38  in_neg_clause_count:                 1
% 0.13/0.38  in_poseq_clause_count:               0
% 0.13/0.38  in_negeq_clause_count:               0
% 0.13/0.38  in_unitposeq_clause_count:           0
% 0.13/0.38  in_chain_clause_count:               0
% 0.13/0.38  in_min_length:             1
% 0.13/0.38  in_max_length:             4
% 0.13/0.38  in_min_depth:              1
% 0.13/0.38  in_max_depth:              2
% 0.13/0.38  in_min_size:               3
% 0.13/0.38  in_max_size:              16
% 0.13/0.38  in_min_vars:               0
% 0.13/0.38  in_max_vars:               6
% 0.13/0.38  in_extaxiom_count:                 7
% 0.13/0.38  in_axiom_count:                    0
% 0.13/0.38  in_assumption_count:               1
% 0.13/0.38  in_goal_count:                     1
% 0.13/0.38  in_neg_goal_count:                 1
% 0.13/0.38  in_pos_goal_count:                 0
% 0.13/0.38  in_posunit_goal_count:             0
% 0.13/0.38  
% 0.13/0.38  auto guide:
% 0.13/0.38  -----------
% 0.13/0.38  {
% 0.13/0.38  "print":1,
% 0.13/0.38  "print_level": 15,
% 0.13/0.38  "max_size": 0,
% 0.13/0.38  "max_depth": 0,
% 0.13/0.38  "max_length": 0,
% 0.13/0.38  "max_dseconds": 0,
% 0.13/0.38  "equality":0,
% 0.13/0.38  "runs":[
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.13/0.38  
% 0.13/0.38  ]}
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  **** run 1 fork 0 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 2 fork 1 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 3 fork 2 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.38  
% 0.13/0.38  **** run 4 fork 3 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 5 fork 4 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.13/0.38  
% 0.13/0.38  **** run 6 fork 5 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.13/0.38  
% 0.13/0.38  **** run 7 fork 6 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 8 fork 7 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 0: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 3: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 4: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 5: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  fork 1: search finished 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 6: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 7: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  **** run 10 fork 1 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.52  
% 0.19/0.52  **** run 9 fork 0 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.52  
% 0.19/0.52  **** run 12 fork 3 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.53  
% 0.19/0.53  **** run 13 fork 4 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.53  
% 0.19/0.53  **** run 14 fork 5 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.53  
% 0.19/0.53  **** run 11 fork 2 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.54  
% 0.19/0.54  **** run 16 fork 7 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 15 fork 6 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 3: search terminated without proof.
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 1: search terminated without proof.
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 5: search terminated without proof.
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 2: search terminated without proof.
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 4: search terminated without proof.
% 2.06/0.64  
% 2.06/0.64  
% 2.06/0.64  fork 0: search terminated without proof.
% 2.06/0.65  
% 2.06/0.65  
% 2.06/0.65  fork 6: search terminated without proof.
% 2.06/0.66  
% 2.06/0.66  
% 2.06/0.66  fork 7: search terminated without proof.
% 2.06/0.66  
% 2.06/0.66  **** run 20 fork 3 starts with strategy
% 2.06/0.66  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 2.06/0.66  
% 2.06/0.66  **** run 19 fork 2 starts with strategy
% 2.06/0.66  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 2.06/0.66  
% 2.06/0.66  **** run 17 fork 0 starts with strategy
% 2.06/0.66  
% 2.06/0.66  **** run 21 fork 4 starts with strategy
% 2.06/0.66  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.06/0.66  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 2.06/0.66  
% 2.06/0.66  **** run 22 fork 5 starts with strategy
% 2.06/0.66  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.06/0.67  
% 2.06/0.67  **** run 18 fork 1 starts with strategy
% 2.06/0.67  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.06/0.67  
% 2.06/0.67  **** run 23 fork 6 starts with strategy
% 2.06/0.67  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.06/0.68  
% 2.06/0.68  **** run 24 fork 7 starts with strategy
% 2.06/0.68  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 2.81/0.78  
% 2.81/0.78  
% 2.81/0.78  fork 2: search terminated without proof.
% 2.81/0.78  
% 2.81/0.78  
% 2.81/0.78  fork 4: search terminated without proof.
% 2.81/0.78  
% 2.81/0.78  
% 2.81/0.78  fork 6: search terminated without proof.
% 3.35/0.79  
% 3.35/0.79  
% 3.35/0.79  fork 3: search terminated without proof.
% 3.35/0.80  
% 3.35/0.80  **** run 27 fork 2 starts with strategy
% 3.35/0.80  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 3.35/0.80  
% 3.35/0.80  
% 3.35/0.80  fork 5: search terminated without proof.
% 3.35/0.80  
% 3.35/0.80  
% 3.35/0.80  fork 0: search terminated without proof.
% 3.35/0.80  
% 3.35/0.80  **** run 31 fork 6 starts with strategy
% 3.35/0.80  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 3.35/0.80  
% 3.35/0.80  
% 3.35/0.80  fork 1: search terminated without proof.
% 3.35/0.81  
% 3.35/0.81  **** run 29 fork 4 starts with strategy
% 3.35/0.81  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 3.35/0.81  
% 3.35/0.81  **** run 28 fork 3 starts with strategy
% 3.35/0.81  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.35/0.81  
% 3.35/0.81  
% 3.35/0.81  fork 7: search terminated without proof.
% 3.35/0.82  
% 3.35/0.82  **** run 25 fork 0 starts with strategy
% 3.35/0.82  {"max_dseconds":1,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
% 3.35/0.82  
% 3.35/0.82  **** run 30 fork 5 starts with strategy
% 3.35/0.82  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 3.35/0.82  
% 3.35/0.82  **** run 26 fork 1 starts with strategy
% 3.35/0.82  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 3.35/0.83  
% 3.35/0.83  **** run 32 fork 7 starts with strategy
% 3.35/0.83  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.29/0.92  
% 4.29/0.92  
% 4.29/0.92  fork 6: search terminated without proof.
% 4.29/0.92  
% 4.29/0.92  
% 4.29/0.92  fork 4: search terminated without proof.
% 4.45/0.93  
% 4.45/0.93  
% 4.45/0.93  fork 3: search terminated without proof.
% 4.45/0.93  
% 4.45/0.93  
% 4.45/0.93  fork 2: search terminated without proof.
% 4.45/0.93  
% 4.45/0.93  **** run 39 fork 6 starts with strategy
% 4.45/0.93  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 4.45/0.94  
% 4.45/0.94  **** run 37 fork 4 starts with strategy
% 4.45/0.94  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.45/0.94  
% 4.45/0.94  
% 4.45/0.94  fork 0: search terminated without proof.
% 4.45/0.94  
% 4.45/0.94  
% 4.45/0.94  fork 5: search terminated without proof.
% 4.45/0.94  
% 4.45/0.94  
% 4.45/0.94  fork 1: search terminated without proof.
% 4.45/0.94  
% 4.45/0.94  **** run 36 fork 3 starts with strategy
% 4.45/0.94  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 4.45/0.95  
% 4.45/0.95  **** run 35 fork 2 starts with strategy
% 4.45/0.95  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 4.45/0.95  
% 4.45/0.95  
% 4.45/0.95  fork 7: search terminated without proof.
% 4.45/0.96  
% 4.45/0.96  **** run 38 fork 5 starts with strategy
% 4.45/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 4.45/0.96  
% 4.45/0.96  **** run 34 fork 1 starts with strategy
% 4.45/0.96  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 4.45/0.97  
% 4.45/0.97  **** run 33 fork 0 starts with strategy
% 4.45/0.97  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 4.45/0.97  
% 4.45/0.97  **** run 40 fork 7 starts with strategy
% 4.45/0.97  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 4.45/0.99  
% 4.45/0.99  fork 5: search finished without proof.
% 4.45/1.00  
% 4.45/1.00  **** run 46 fork 5 starts with strategy
% 4.45/1.00  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.18/1.05  
% 5.18/1.05  
% 5.18/1.05  fork 4: search terminated without proof.
% 5.18/1.06  
% 5.18/1.06  
% 5.18/1.06  fork 6: search terminated without proof.
% 5.18/1.07  
% 5.18/1.07  
% 5.18/1.07  fork 3: search terminated without proof.
% 5.18/1.07  
% 5.18/1.07  
% 5.18/1.07  result: proof found
% 5.18/1.07  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 5.18/1.07  by run 40 fork 7 strategy {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 5.18/1.07  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 5.18/1.07  
% 5.18/1.07  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 5.18/1.07  
% 5.18/1.07  run 40 fork 7 statistics:
% 5.18/1.07  ----------------------------------
% 5.18/1.07  this run seconds: 0.079396
% 5.18/1.07  total seconds: 0.668708
% 5.18/1.07  stat_given_used: 491
% 5.18/1.07  stat_given_used_at_endgame: 0
% 5.18/1.07  stat_given_candidates:   775
% 5.18/1.07  stat_given_candidates_at_endgame: 0
% 5.18/1.07  stat_given_candidates_h: 0
% 5.18/1.07  stat_binres_derived_cl:   8436
% 5.18/1.07  stat_binres_derived_cl_h: 0
% 5.18/1.07  stat_factor_derived_cl: 25
% 5.18/1.07  stat_para_derived_cl: 0
% 5.18/1.07  stat_tautologies_discarded: 77
% 5.18/1.07  stat_forward_subsumed: 2809
% 5.18/1.07  stat_derived_cut: 1
% 5.18/1.07  stat_derived_rewritten: 0
% 5.18/1.07  stat_weight_discarded_building: 0
% 5.18/1.07  stat_weight_discarded_cl: 0
% 5.18/1.07  stat_internlimit_discarded_cl: 0
% 5.18/1.07  stat_simplified:  0 simplified 0 derived 0 given
% 5.18/1.07  stat_kept_cl: 5574
% 5.18/1.07  stat_built_cl: 6556
% 5.18/1.07  stat_hyperres_partial_cl: 0
% 5.18/1.07  stat_made_rewriters: 0
% 5.18/1.07  stat_backward_subsumed: 0
% 5.18/1.07  stat_propagated_subsumed: 0
% 5.18/1.07  stat_clsubs_attempted:                      5022
% 5.18/1.07  stat_clsubs_fact_groundunit_found:             9
% 5.18/1.07  stat_clsubs_rule_groundunit_found:            15
% 5.18/1.07  stat_clsubs_top_meta_attempted:             100743
% 5.18/1.07  stat_clsubs_top_meta_failed:                 95721
% 5.18/1.07  stat_clsubs_top_meta_nonpref_attempted:              100743
% 5.18/1.07  stat_clsubs_top_meta_nonpref_succeeded:               15441
% 5.18/1.07  stat_clsubs_top_meta_pref_attempted:                  15441
% 5.18/1.07  stat_clsubs_top_meta_pref1_succeeded:                  8850
% 5.18/1.07  stat_clsubs_top_meta_pref2_succeeded:                  5643
% 5.18/1.07  stat_clsubs_top_meta_pref3_succeeded:                  5022
% 5.18/1.07  stat_clsubs_top_meta_pref_succeeded:                   5022
% 5.18/1.07  stat_clsubs_meta_attempted:                 6371
% 5.18/1.07  stat_clsubs_meta_failed:                    1010
% 5.18/1.07  stat_clsubs_predsymbs_attempted:               0
% 5.18/1.07  stat_clsubs_unit_attempted:                 3456
% 5.18/1.07  stat_clsubs_full_attempted:                 1566
% 5.18/1.07  stat_forwardsubs_attempted:                 8384
% 5.18/1.07  stat_lit_hash_added:                   7918
% 5.18/1.07  stat_lit_hash_computed:               28060
% 5.18/1.07  stat_lit_hash_match_found:             2834
% 5.18/1.07  stat_lit_hash_match_miss:             25167
% 5.18/1.07  stat_lit_hash_cut_ok:                     1
% 5.18/1.07  stat_lit_strong_cut_ok:                   0
% 5.18/1.07  stat_lit_hash_subsume_ok:              2809
% 5.18/1.07  clqueue els 10000000 used 1
% 5.18/1.07  clactive els 10000000 used 492
% 5.18/1.07  clactivesubsume els 10000000 used 1945
% 5.18/1.07  queue_termbuf els 200000000 used 282994
% 5.18/1.07  hyper_termbuf els 100000000 used 1
% 5.18/1.07  active_termbuf els 100000000 used 13868
% 5.18/1.07  varstack els 5000 last used 1
% 5.18/1.07  given_termbuf els 10000000 last used 1
% 5.18/1.07  simplified_termbuf els 10000000 last used 1
% 5.18/1.07  derived_termbuf els 10000000 last used 34
% 5.18/1.07  wr_mallocs: 12361
% 5.18/1.07  wr_callocs: 21
% 5.18/1.07  wr_reallocs: 1834
% 5.18/1.07  wr_frees: 2
% 5.18/1.07  wr_malloc_bytes: 4163037348
% 5.18/1.07  wr_calloc_bytes: 112065536
% 5.18/1.07  wr_realloc_bytes: 336392
% 5.18/1.07  wr_realloc_freebytes: 0
% 5.18/1.07  ----------------------------------
%------------------------------------------------------------------------------