TSTP Solution File: GRP133-1.003 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n018.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 00:52:48 EDT 2023

% Result   : Unsatisfiable 0.19s 0.43s
% 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_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,
    ( product(X,X,e_3)
    | product(X,X,e_2)
    | product(X,X,e_1)
    | ~ group_element(X) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('4',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(U,X) ),
    inference(cnf_transformation,[],[product_left_cancellation]) ).

cnf('6',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | ~ product(X,e_3,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ( product(X,e_3,e_3)
    | product(X,e_3,e_2)
    | product(X,e_3,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','3']) ).

cnf('8',plain,
    group_element(e_1),
    inference(cnf_transformation,[],[element_1]) ).

cnf('9',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[],[e_1_is_not_e_3]) ).

cnf('11',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[then_simplify],['6','9','10']) ).

cnf('12',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,X,U)
    | product(U,Z,Y) ),
    inference(cnf_transformation,[],[qg3]) ).

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

cnf('14',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['11','13']) ).

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

cnf('16',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[product_total_function2]) ).

cnf('17',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | ~ product(e_2,e_2,X)
    | equalish(X,e_3) ),
    inference(resolution,[],['15','16']) ).

cnf('18',plain,
    group_element(e_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('19',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['2','18']) ).

cnf('20',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(X,e_2,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['19','5']) ).

cnf('21',plain,
    ( product(X,e_2,e_3)
    | product(X,e_2,e_2)
    | product(X,e_2,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','18']) ).

cnf('22',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3) ),
    inference(resolution,[],['21','3']) ).

cnf('23',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('24',plain,
    ( product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_3,e_2,e_2) ),
    inference(resolution,[then_simplify],['20','22','23']) ).

cnf('25',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[],['19','13']) ).

cnf('26',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('27',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(e_3,X,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['25','26']) ).

cnf('28',plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[e_2_is_not_e_3]) ).

cnf('29',plain,
    ( product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[then_simplify],['24','27','28']) ).

cnf('30',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(e_2,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['19','26']) ).

cnf('31',plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(resolution,[],['7','18']) ).

cnf('32',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_3,e_2) ),
    inference(resolution,[then_simplify],['30','31','23']) ).

cnf('33',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(X,e_3,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['25','5']) ).

cnf('34',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[then_simplify],['32','33','28']) ).

cnf('35',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(e_3,e_2,X)
    | product(X,e_1,e_3) ),
    inference(resolution,[],['34','12']) ).

cnf('36',plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[],['29','35']) ).

cnf('37',plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_1,e_3)
    | ~ product(e_2,e_2,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['36','16']) ).

cnf('38',plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['15','37','23']) ).

cnf('39',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['17','38','10']) ).

cnf('40',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | ~ product(e_3,e_1,X)
    | product(X,e_2,e_3) ),
    inference(resolution,[],['39','12']) ).

cnf('41',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['4','26']) ).

cnf('42',plain,
    ( product(X,e_1,e_3)
    | product(X,e_1,e_2)
    | product(X,e_1,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','8']) ).

cnf('43',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(resolution,[],['42','3']) ).

cnf('44',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[then_simplify],['41','43','10']) ).

cnf('45',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_1)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['44','13']) ).

cnf('46',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['45','13']) ).

cnf('47',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['40','46']) ).

cnf('48',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ product(e_2,e_3,X)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['29','12']) ).

cnf('49',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[],['48','34']) ).

cnf('50',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | ~ product(X,e_2,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['49','5']) ).

cnf('51',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[],['2','8']) ).

cnf('52',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['51','26']) ).

cnf('53',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[],['21','8']) ).

cnf('54',plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[e_2_is_not_e_1]) ).

cnf('55',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[then_simplify],['52','53','54']) ).

cnf('56',plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[e_1_is_not_e_2]) ).

cnf('57',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1) ),
    inference(resolution,[then_simplify],['50','55','56']) ).

cnf('58',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[],['57','13']) ).

cnf('59',plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['49','26']) ).

cnf('60',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ product(X,e_1,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['51','5']) ).

cnf('61',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,[],['42','18']) ).

cnf('62',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[then_simplify],['60','61','54']) ).

cnf('63',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1) ),
    inference(resolution,[then_simplify],['59','62','56']) ).

cnf('64',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[],['63','13']) ).

cnf('65',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ product(e_1,e_2,X)
    | product(X,e_1,e_1) ),
    inference(resolution,[],['64','12']) ).

cnf('66',plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(factorization,[],['65']) ).

cnf('67',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[],['58','66']) ).

cnf('68',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1) ),
    inference(resolution,[],['67','13']) ).

cnf('69',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_2,e_2,X)
    | equalish(X,e_1) ),
    inference(resolution,[],['68','16']) ).

cnf('70',plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[e_3_is_not_e_1]) ).

cnf('71',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['15','69','70']) ).

cnf('72',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['67','26']) ).

cnf('73',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[then_simplify],['71','72','70']) ).

cnf('74',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | ~ product(e_3,e_1,X)
    | product(X,e_1,e_3) ),
    inference(resolution,[],['73','12']) ).

cnf('75',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['67','5']) ).

cnf('76',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[then_simplify],['46','75','70']) ).

cnf('77',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['74','76']) ).

cnf('78',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[then_simplify],['77','69','70']) ).

cnf('79',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_1,e_1,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['67','16']) ).

cnf('80',plain,
    product(e_1,e_1,e_1),
    inference(resolution,[then_simplify],['78','79','23']) ).

cnf('81',plain,
    ( ~ product(X,e_1,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['80','5']) ).

cnf('82',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[then_simplify],['47','81','70']) ).

cnf('83',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[],['82','13']) ).

cnf('84',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | ~ product(X,e_3,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['39','5']) ).

cnf('85',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[then_simplify],['83','84','70']) ).

cnf('86',plain,
    ( ~ product(e_1,X,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['80','26']) ).

cnf('87',plain,
    product(e_1,e_1,e_3),
    inference(resolution,[then_simplify],['85','86','70']) ).

cnf('88',plain,
    ( ~ product(e_1,e_1,X)
    | equalish(X,e_1) ),
    inference(resolution,[],['80','16']) ).

cnf('89',plain,
    $false,
    inference(resolution,[then_simplify],['87','88','70']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n018.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 : Tue Aug 29 02:27:17 EDT 2023
% 0.13/0.34  % 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:                    14
% 0.19/0.38  in_rule_clause_count:               11
% 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:              9
% 0.19/0.38  in_unit_clause_count:                9
% 0.19/0.38  in_horn_clause_count:               13
% 0.19/0.38  in_pos_clause_count:                 3
% 0.19/0.38  in_neg_clause_count:                 6
% 0.19/0.38  in_poseq_clause_count:               0
% 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:              1
% 0.19/0.38  in_min_size:               2
% 0.19/0.38  in_max_size:              16
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               4
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                   13
% 0.19/0.38  in_assumption_count:               0
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% 0.19/0.38  in_neg_goal_count:                 0
% 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  {
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% 0.19/0.38  
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% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
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% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
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% 0.19/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.19/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":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":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 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":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 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  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 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  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 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":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 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  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 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  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":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":["negative_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 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"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 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  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 8 fork 7 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.41  
% 0.19/0.41  fork 7: search finished without proof.
% 0.19/0.41  
% 0.19/0.41  fork 1: search finished without proof.
% 0.19/0.41  
% 0.19/0.41  fork 5: search finished without proof.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  result: proof found
% 0.19/0.43  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  
% 0.19/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.43  
% 0.19/0.43  run 5 fork 4 statistics:
% 0.19/0.43  ----------------------------------
% 0.19/0.43  this run seconds: 0.028003
% 0.19/0.43  total seconds: 0.049973
% 0.19/0.43  stat_given_used: 268
% 0.19/0.43  stat_given_used_at_endgame: 0
% 0.19/0.43  stat_given_candidates:   623
% 0.19/0.43  stat_given_candidates_at_endgame: 0
% 0.19/0.43  stat_given_candidates_h: 0
% 0.19/0.43  stat_binres_derived_cl:   2403
% 0.19/0.43  stat_binres_derived_cl_h: 0
% 0.19/0.43  stat_factor_derived_cl: 8
% 0.19/0.43  stat_para_derived_cl: 0
% 0.19/0.43  stat_tautologies_discarded: 0
% 0.19/0.43  stat_forward_subsumed: 1124
% 0.19/0.43  stat_derived_cut: 680
% 0.19/0.43  stat_derived_rewritten: 0
% 0.19/0.43  stat_weight_discarded_building: 0
% 0.19/0.43  stat_weight_discarded_cl: 0
% 0.19/0.43  stat_internlimit_discarded_cl: 0
% 0.19/0.43  stat_simplified:  0 simplified 0 derived 0 given
% 0.19/0.43  stat_kept_cl: 1286
% 0.19/0.43  stat_built_cl: 1822
% 0.19/0.43  stat_hyperres_partial_cl: 0
% 0.19/0.43  stat_made_rewriters: 0
% 0.19/0.43  stat_backward_subsumed: 0
% 0.19/0.43  stat_propagated_subsumed: 0
% 0.19/0.43  stat_clsubs_attempted:                      4746
% 0.19/0.43  stat_clsubs_fact_groundunit_found:             3
% 0.19/0.43  stat_clsubs_rule_groundunit_found:             3
% 0.19/0.43  stat_clsubs_top_meta_attempted:              58981
% 0.19/0.43  stat_clsubs_top_meta_failed:                 54235
% 0.19/0.43  stat_clsubs_top_meta_nonpref_attempted:               58981
% 0.19/0.43  stat_clsubs_top_meta_nonpref_succeeded:               23272
% 0.19/0.43  stat_clsubs_top_meta_pref_attempted:                  23272
% 0.19/0.43  stat_clsubs_top_meta_pref1_succeeded:                 17685
% 0.19/0.43  stat_clsubs_top_meta_pref2_succeeded:                  9457
% 0.19/0.43  stat_clsubs_top_meta_pref3_succeeded:                  4746
% 0.19/0.43  stat_clsubs_top_meta_pref_succeeded:                   4746
% 0.19/0.43  stat_clsubs_meta_attempted:                15435
% 0.19/0.43  stat_clsubs_meta_failed:                    7152
% 0.19/0.43  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.43  stat_clsubs_unit_attempted:                    0
% 0.19/0.43  stat_clsubs_full_attempted:                 4746
% 0.19/0.43  stat_forwardsubs_attempted:                 2411
% 0.19/0.43  stat_lit_hash_added:                    120
% 0.19/0.43  stat_lit_hash_computed:               22277
% 0.19/0.43  stat_lit_hash_match_found:             2119
% 0.19/0.43  stat_lit_hash_match_miss:             31683
% 0.19/0.43  stat_lit_hash_cut_ok:                   878
% 0.19/0.43  stat_lit_strong_cut_ok:                   0
% 0.19/0.43  stat_lit_hash_subsume_ok:              1124
% 0.19/0.43  clqueue els 10000000 used 1
% 0.19/0.43  clactive els 10000000 used 269
% 0.19/0.43  clactivesubsume els 10000000 used 1525
% 0.19/0.43  queue_termbuf els 200000000 used 78182
% 0.19/0.43  hyper_termbuf els 100000000 used 1
% 0.19/0.43  active_termbuf els 100000000 used 10990
% 0.19/0.43  varstack els 5000 last used 1
% 0.19/0.43  given_termbuf els 10000000 last used 1
% 0.19/0.43  simplified_termbuf els 10000000 last used 1
% 0.19/0.43  derived_termbuf els 10000000 last used 22
% 0.19/0.43  wr_mallocs: 899
% 0.19/0.43  wr_callocs: 21
% 0.19/0.43  wr_reallocs: 72
% 0.19/0.43  wr_frees: 2
% 0.19/0.43  wr_malloc_bytes: 4162607924
% 0.19/0.43  wr_calloc_bytes: 112065536
% 0.19/0.43  wr_realloc_bytes: 59992
% 0.19/0.43  wr_realloc_freebytes: 0
% 0.19/0.43  ----------------------------------
%------------------------------------------------------------------------------