TSTP Solution File: GRP124-1.004 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP124-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:52:31 EDT 2023

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( product(X,Y,e_4)
    | product(X,Y,e_3)
    | product(X,Y,e_2)
    | product(X,Y,e_1)
    | ~ group_element(Y)
    | ~ group_element(X) ),
    inference(cnf_transformation,[],[product_total_function1]) ).

cnf('2',plain,
    group_element(e_4),
    inference(cnf_transformation,[],[element_4]) ).

cnf('3',plain,
    ( product(X,e_4,e_4)
    | product(X,e_4,e_3)
    | product(X,e_4,e_2)
    | product(X,e_4,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    group_element(e_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('5',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(resolution,[],['3','4']) ).

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

cnf('7',plain,
    product(X,X,X),
    inference(cnf_transformation,[],[product_idempotence]) ).

cnf('8',plain,
    ( ~ product(X,Y,Y)
    | equalish(X,Y) ),
    inference(resolution,[],['6','7']) ).

cnf('9',plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[],[e_2_is_not_e_4]) ).

cnf('10',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['5','8','9']) ).

cnf('11',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,V)
    | ~ product(Y,Z,W)
    | ~ product(U,V,W)
    | equalish(V,Z) ),
    inference(cnf_transformation,[],[qg2_2]) ).

cnf('12',plain,
    product(X0,X0,X0),
    inference(cnf_transformation,[],[product_idempotence]) ).

cnf('13',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Z,X,Y)
    | equalish(Z,Y) ),
    inference(factorization,[then_simplify],['11','12']) ).

cnf('14',plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[],[e_3_is_not_e_4]) ).

cnf('15',plain,
    ( ~ product(e_3,e_2,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['10','13','14']) ).

cnf('16',plain,
    ( product(X,e_2,e_4)
    | product(X,e_2,e_3)
    | product(X,e_2,e_2)
    | product(X,e_2,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','4']) ).

cnf('17',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('18',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(resolution,[],['16','17']) ).

cnf('19',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[],['15','18']) ).

cnf('20',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('21',plain,
    product(X,X,X),
    inference(cnf_transformation,[],[product_idempotence]) ).

cnf('22',plain,
    ( ~ product(X,Y,X)
    | equalish(Y,X) ),
    inference(resolution,[],['20','21']) ).

cnf('23',plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[e_2_is_not_e_3]) ).

cnf('24',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['19','22','23']) ).

cnf('25',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('26',plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['24','8','25']) ).

cnf('27',plain,
    ( product(X,e_3,e_4)
    | product(X,e_3,e_3)
    | product(X,e_3,e_2)
    | product(X,e_3,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','17']) ).

cnf('28',plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4) ),
    inference(resolution,[],['27','2']) ).

cnf('29',plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3) ),
    inference(resolution,[then_simplify],['28','22','14']) ).

cnf('30',plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[e_4_is_not_e_3]) ).

cnf('31',plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2) ),
    inference(resolution,[then_simplify],['29','8','30']) ).

cnf('32',plain,
    ( ~ product(e_2,e_4,e_3)
    | product(e_4,e_3,e_1) ),
    inference(resolution,[then_simplify],['31','13','23']) ).

cnf('33',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[],['32','10']) ).

cnf('34',plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(resolution,[],['3','17']) ).

cnf('35',plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3) ),
    inference(resolution,[then_simplify],['34','8','14']) ).

cnf('36',plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2) ),
    inference(resolution,[then_simplify],['35','22','30']) ).

cnf('37',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(resolution,[],['16','2']) ).

cnf('38',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3) ),
    inference(resolution,[then_simplify],['37','22','9']) ).

cnf('39',plain,
    ( ~ product(e_3,e_4,e_2)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2) ),
    inference(resolution,[then_simplify],['38','13','25']) ).

cnf('40',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolution,[],['36','39']) ).

cnf('41',plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[e_4_is_not_e_2]) ).

cnf('42',plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolution,[then_simplify],['40','8','41']) ).

cnf('43',plain,
    ( product(e_3,e_4,e_1)
    | ~ product(e_4,X,e_1)
    | equalish(X,e_2) ),
    inference(resolution,[],['42','20']) ).

cnf('44',plain,
    ( product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['33','43','25']) ).

cnf('45',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | ~ product(e_3,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['44','20']) ).

cnf('46',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[then_simplify],['26','45','9']) ).

cnf('47',plain,
    product(e_2,e_4,e_1),
    inference(resolution,[then_simplify],['46','22','41']) ).

cnf('48',plain,
    ( ~ product(e_4,e_3,e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3) ),
    inference(resolution,[then_simplify],['18','13','41']) ).

cnf('49',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_1)
    | product(e_3,e_2,e_3) ),
    inference(resolution,[],['31','48']) ).

cnf('50',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_1)
    | product(e_3,e_2,e_3) ),
    inference(resolution,[then_simplify],['49','43','25']) ).

cnf('51',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | ~ product(X,e_4,e_1)
    | equalish(X,e_3) ),
    inference(resolution,[],['50','6']) ).

cnf('52',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3) ),
    inference(resolution,[then_simplify],['47','51','23']) ).

cnf('53',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2) ),
    inference(resolution,[then_simplify],['52','22','23']) ).

cnf('54',plain,
    product(e_3,e_2,e_1),
    inference(resolution,[then_simplify],['53','8','25']) ).

cnf('55',plain,
    ( product(e_3,e_4,e_1)
    | ~ product(X,e_2,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['42','6']) ).

cnf('56',plain,
    product(e_3,e_4,e_1),
    inference(resolution,[then_simplify],['54','55','14']) ).

cnf('57',plain,
    ( ~ product(X,e_4,e_1)
    | equalish(X,e_2) ),
    inference(resolution,[],['47','6']) ).

cnf('58',plain,
    $false,
    inference(resolution,[then_simplify],['56','57','25']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP124-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n002.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 : Mon Aug 28 23:29:34 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                    23
% 0.19/0.39  in_rule_clause_count:               18
% 0.19/0.39  in_fact_clause_count:                5
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:             16
% 0.19/0.39  in_unit_clause_count:               17
% 0.19/0.39  in_horn_clause_count:               22
% 0.19/0.39  in_pos_clause_count:                 5
% 0.19/0.39  in_neg_clause_count:                12
% 0.19/0.39  in_poseq_clause_count:               0
% 0.19/0.39  in_negeq_clause_count:               0
% 0.19/0.39  in_unitposeq_clause_count:           0
% 0.19/0.39  in_chain_clause_count:               0
% 0.19/0.39  in_min_length:             1
% 0.19/0.39  in_max_length:             6
% 0.19/0.39  in_min_depth:              1
% 0.19/0.39  in_max_depth:              1
% 0.19/0.39  in_min_size:               2
% 0.19/0.39  in_max_size:              20
% 0.19/0.39  in_min_vars:               0
% 0.19/0.39  in_max_vars:               6
% 0.19/0.39  in_extaxiom_count:                 0
% 0.19/0.39  in_axiom_count:                   21
% 0.19/0.39  in_assumption_count:               0
% 0.19/0.39  in_goal_count:                     2
% 0.19/0.39  in_neg_goal_count:                 0
% 0.19/0.39  in_pos_goal_count:                 0
% 0.19/0.39  in_posunit_goal_count:             0
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "equality":0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.19/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.19/0.40  
% 0.19/0.40  ]}
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  **** run 1 fork 0 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 2 fork 1 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 3 fork 2 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 4 fork 3 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 5 fork 4 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.40  
% 0.19/0.40  **** run 6 fork 5 starts with strategy
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.44  
% 0.19/0.44  fork 1: search finished without proof.
% 0.19/0.47  
% 0.19/0.47  **** run 10 fork 1 starts with strategy
% 0.19/0.47  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.47  
% 0.19/0.47  fork 5: search finished without proof.
% 0.19/0.47  
% 0.19/0.47  fork 7: search finished without proof.
% 0.19/0.50  
% 0.19/0.50  **** run 14 fork 5 starts with strategy
% 0.19/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.50  
% 0.19/0.50  **** run 16 fork 7 starts with strategy
% 0.19/0.50  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  result: proof found
% 0.19/0.55  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.55  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.55  
% 0.19/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.55  
% 0.19/0.55  run 1 fork 0 statistics:
% 0.19/0.55  ----------------------------------
% 0.19/0.55  this run seconds: 0.032722
% 0.19/0.55  total seconds: 0.062911
% 0.19/0.55  stat_given_used: 276
% 0.19/0.55  stat_given_used_at_endgame: 0
% 0.19/0.55  stat_given_candidates:   1042
% 0.19/0.55  stat_given_candidates_at_endgame: 0
% 0.19/0.55  stat_given_candidates_h: 0
% 0.19/0.55  stat_binres_derived_cl:   1504
% 0.19/0.55  stat_binres_derived_cl_h: 0
% 0.19/0.55  stat_factor_derived_cl: 56
% 0.19/0.55  stat_para_derived_cl: 0
% 0.19/0.55  stat_tautologies_discarded: 21
% 0.19/0.55  stat_forward_subsumed: 174
% 0.19/0.55  stat_derived_cut: 635
% 0.19/0.55  stat_derived_rewritten: 0
% 0.19/0.55  stat_weight_discarded_building: 0
% 0.19/0.55  stat_weight_discarded_cl: 0
% 0.19/0.55  stat_internlimit_discarded_cl: 0
% 0.19/0.55  stat_simplified:  23 simplified 0 derived 0 given
% 0.19/0.55  stat_kept_cl: 1364
% 0.19/0.55  stat_built_cl: 1939
% 0.19/0.55  stat_hyperres_partial_cl: 0
% 0.19/0.55  stat_made_rewriters: 0
% 0.19/0.55  stat_backward_subsumed: 0
% 0.19/0.55  stat_propagated_subsumed: 0
% 0.19/0.55  stat_clsubs_attempted:                      4784
% 0.19/0.55  stat_clsubs_fact_groundunit_found:             6
% 0.19/0.55  stat_clsubs_rule_groundunit_found:            12
% 0.19/0.55  stat_clsubs_top_meta_attempted:              60132
% 0.19/0.55  stat_clsubs_top_meta_failed:                 55348
% 0.19/0.55  stat_clsubs_top_meta_nonpref_attempted:               60132
% 0.19/0.55  stat_clsubs_top_meta_nonpref_succeeded:               21578
% 0.19/0.55  stat_clsubs_top_meta_pref_attempted:                  21578
% 0.19/0.55  stat_clsubs_top_meta_pref1_succeeded:                 17162
% 0.19/0.55  stat_clsubs_top_meta_pref2_succeeded:                  7600
% 0.19/0.55  stat_clsubs_top_meta_pref3_succeeded:                  4784
% 0.19/0.55  stat_clsubs_top_meta_pref_succeeded:                   4784
% 0.19/0.55  stat_clsubs_meta_attempted:                21228
% 0.19/0.55  stat_clsubs_meta_failed:                    7472
% 0.19/0.55  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.55  stat_clsubs_unit_attempted:                  468
% 0.19/0.55  stat_clsubs_full_attempted:                 4316
% 0.19/0.55  stat_forwardsubs_attempted:                 1539
% 0.19/0.55  stat_lit_hash_added:                    237
% 0.19/0.55  stat_lit_hash_computed:               22967
% 0.19/0.55  stat_lit_hash_match_found:              883
% 0.19/0.55  stat_lit_hash_match_miss:             31877
% 0.19/0.55  stat_lit_hash_cut_ok:                   636
% 0.19/0.55  stat_lit_strong_cut_ok:                  27
% 0.19/0.55  stat_lit_hash_subsume_ok:               174
% 0.19/0.55  clqueue els 10000000 used 1
% 0.19/0.55  clactive els 10000000 used 277
% 0.19/0.55  clactivesubsume els 10000000 used 1495
% 0.19/0.55  queue_termbuf els 200000000 used 82574
% 0.19/0.55  hyper_termbuf els 100000000 used 1
% 0.19/0.55  active_termbuf els 100000000 used 11277
% 0.19/0.55  varstack els 5000 last used 1
% 0.19/0.55  given_termbuf els 10000000 last used 1
% 0.19/0.55  simplified_termbuf els 10000000 last used 1
% 0.19/0.55  derived_termbuf els 10000000 last used 22
% 0.19/0.55  wr_mallocs: 1030
% 0.19/0.55  wr_callocs: 21
% 0.19/0.55  wr_reallocs: 123
% 0.19/0.55  wr_frees: 2
% 0.19/0.55  wr_malloc_bytes: 4162613652
% 0.19/0.55  wr_calloc_bytes: 112065536
% 0.19/0.55  wr_realloc_bytes: 47632
% 0.19/0.55  wr_realloc_freebytes: 0
% 0.19/0.55  ----------------------------------
% 0.19/0.55  
% 0.19/0.55  fork 5: search finished without proof.
%------------------------------------------------------------------------------