TSTP Solution File: GRP039-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP039-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.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 00:52:03 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_associativity1')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,V)
    | ~ product(W,U,X)
    | product(W,V,Z) ),
    inference(cnf_transformation,[],['$inc_associativity1']) ).

cnf('2',plain,
    product(a,c,d),
    inference(cnf_transformation,[],[a_times_c_is_d]) ).

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

cnf('4',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_total_function2']) ).

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

cnf('6',plain,
    ( ~ product(identity,X,Y)
    | Y = X ),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    product(X,Y,multiply(X,Y)),
    inference(cnf_transformation,[],['$inc_total_function1']) ).

cnf('8',plain,
    multiply(identity,X) = X,
    inference(resolution,[],['6','7']) ).

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

cnf('10',plain,
    ( ~ product(a,c,X)
    | product(identity,X,d) ),
    inference(resolution,[],['3','9']) ).

cnf('11',plain,
    product(identity,d,d),
    inference(resolution,[],['10','2']) ).

cnf('12',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,d,Z)
    | product(X,Z,d) ),
    inference(resolution,[],['11','1']) ).

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

cnf('14',plain,
    ( ~ product(inverse(X),d,Y)
    | product(X,Y,d) ),
    inference(resolution,[],['12','13']) ).

cnf('15',plain,
    product(X,multiply(inverse(X),d),d),
    inference(resolution,[],['14','7']) ).

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

cnf('17',plain,
    ( ~ product(a,X,d)
    | c = X ),
    inference(resolution,[],['16','2']) ).

cnf('18',plain,
    c = multiply(inverse(a),d),
    inference(resolution,[],['15','17']) ).

cnf('19',plain,
    product(inverse(a),d,c),
    inference(paramodulation,[],['18','7']) ).

cnf('20',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Z,V)
    | ~ product(U,X,W)
    | product(W,Y,V) ),
    inference(cnf_transformation,[],['$inc_associativity2']) ).

cnf('21',plain,
    ( ~ product(X,inverse(a),Y)
    | ~ product(X,c,Z)
    | product(Y,d,Z) ),
    inference(resolution,[],['19','20']) ).

cnf('22',plain,
    product(b,inverse(a),c),
    inference(cnf_transformation,[],[b_times_a_inverse_is_c]) ).

cnf('23',plain,
    ( ~ product(b,c,X)
    | product(c,d,X) ),
    inference(resolution,[],['21','22']) ).

cnf('24',plain,
    product(c,d,multiply(b,c)),
    inference(resolution,[],['23','7']) ).

cnf('25',plain,
    ( X = multiply(Y,Z)
    | ~ product(Y,Z,X) ),
    inference(resolution,[],['4','7']) ).

cnf('26',plain,
    multiply(b,c) = multiply(c,d),
    inference(resolution,[],['24','25']) ).

cnf('27',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | X = U ),
    inference(cnf_transformation,[],[product_left_cancellation]) ).

cnf('28',plain,
    ( ~ product(X,Y,multiply(Z,Y))
    | Z = X ),
    inference(resolution,[],['27','7']) ).

cnf('29',plain,
    ( ~ product(X,c,multiply(c,d))
    | b = X ),
    inference(paramodulation,[],['26','28']) ).

cnf('30',plain,
    ( ~ product(X,d,Y)
    | ~ product(X,a,Z)
    | product(Z,c,Y) ),
    inference(resolution,[],['20','2']) ).

cnf('31',plain,
    ( product(X,c,multiply(Y,d))
    | ~ product(Y,a,X) ),
    inference(resolution,[],['30','7']) ).

cnf('32',plain,
    product(multiply(X,a),c,multiply(X,d)),
    inference(resolution,[],['31','7']) ).

cnf('33',plain,
    b = multiply(c,a),
    inference(resolution,[],['29','32']) ).

cnf('34',plain,
    ( ~ product(X,Y,identity)
    | ~ product(Y,Z,U)
    | product(X,U,Z) ),
    inference(resolution,[],['1','9']) ).

cnf('35',plain,
    ( ~ product(inverse(X),Y,Z)
    | product(X,Z,Y) ),
    inference(resolution,[],['34','13']) ).

cnf('36',plain,
    product(X,multiply(inverse(X),Y),Y),
    inference(resolution,[],['35','7']) ).

cnf('37',plain,
    ( ~ product(X,Y,multiply(X,Z))
    | Z = Y ),
    inference(resolution,[],['16','7']) ).

cnf('38',plain,
    X = multiply(inverse(Y),multiply(Y,X)),
    inference(resolution,[],['36','37']) ).

cnf('39',plain,
    a = multiply(inverse(c),b),
    inference(paramodulation,[],['33','38']) ).

cnf('40',plain,
    inverse(inverse(X)) = X,
    inference(cnf_transformation,[],[inverse_is_self_cancelling]) ).

cnf('41',plain,
    ( ~ product(X,inverse(Y),Z)
    | ~ subgroup_member(Y)
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(cnf_transformation,[],['$inc_closure_of_product_and_inverse']) ).

cnf('42',plain,
    ( ~ product(X,Y,Z)
    | ~ subgroup_member(inverse(Y))
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(paramodulation,[],['40','41']) ).

cnf('43',plain,
    ( subgroup_member(inverse(X))
    | ~ subgroup_member(X) ),
    inference(cnf_transformation,[],[subgroup_member_inverse_are_in_subgroup]) ).

cnf('44',plain,
    subgroup_member(b),
    inference(cnf_transformation,[],[b_is_in_subgroup]) ).

cnf('45',plain,
    subgroup_member(inverse(b)),
    inference(resolution,[],['43','44']) ).

cnf('46',plain,
    ( ~ product(X,b,Y)
    | ~ subgroup_member(X)
    | subgroup_member(Y) ),
    inference(resolution,[],['42','45']) ).

cnf('47',plain,
    ( subgroup_member(multiply(X,b))
    | ~ subgroup_member(X) ),
    inference(resolution,[],['46','7']) ).

cnf('48',plain,
    ( product(X,element_in_O2(X,Y),Y)
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[property_of_O2]) ).

cnf('49',plain,
    ~ subgroup_member(d),
    inference(cnf_transformation,[],[prove_d_is_in_subgroup]) ).

cnf('50',plain,
    ( c = element_in_O2(a,d)
    | subgroup_member(a) ),
    inference(resolution,[then_simplify],['17','48','49']) ).

cnf('51',plain,
    ( subgroup_member(element_in_O2(X,Y))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[an_element_in_O2]) ).

cnf('52',plain,
    ( subgroup_member(inverse(element_in_O2(X,Y)))
    | subgroup_member(X)
    | subgroup_member(Y) ),
    inference(resolution,[],['51','43']) ).

cnf('53',plain,
    ( subgroup_member(inverse(c))
    | subgroup_member(a) ),
    inference(paramodulation,[then_simplify],['50','52','49']) ).

cnf('54',plain,
    ( subgroup_member(multiply(inverse(c),b))
    | subgroup_member(a) ),
    inference(resolution,[],['47','53']) ).

cnf('55',plain,
    subgroup_member(a),
    inference(paramodulation,[],['39','54']) ).

cnf('56',plain,
    subgroup_member(multiply(a,b)),
    inference(resolution,[],['55','47']) ).

cnf('57',plain,
    ( product(X,inverse(a),Y)
    | ~ product(Z,c,Y)
    | ~ product(Z,b,X) ),
    inference(resolution,[],['20','22']) ).

cnf('58',plain,
    ( product(X,inverse(a),d)
    | ~ product(a,b,X) ),
    inference(resolution,[],['57','2']) ).

cnf('59',plain,
    product(multiply(a,b),inverse(a),d),
    inference(resolution,[],['58','7']) ).

cnf('60',plain,
    ( ~ subgroup_member(multiply(a,b))
    | ~ subgroup_member(a) ),
    inference(resolution,[then_simplify],['59','41','49']) ).

cnf('61',plain,
    subgroup_member(a),
    inference(paramodulation,[],['39','54']) ).

cnf('62',plain,
    $false,
    inference(resolution,[then_simplify],['56','60','61']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP039-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.10  % Command  : gkc %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Mon Aug 28 22:36:46 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.35  
% 0.10/0.35  input clause set summed statistics:
% 0.10/0.35  ----------------------------------
% 0.10/0.35  in_clause_count:                    20
% 0.10/0.35  in_rule_clause_count:               15
% 0.10/0.35  in_fact_clause_count:                5
% 0.10/0.35  in_answer_clause_count:              0
% 0.10/0.35  in_ground_clause_count:              5
% 0.10/0.35  in_unit_clause_count:               11
% 0.10/0.35  in_horn_clause_count:               18
% 0.10/0.35  in_pos_clause_count:                12
% 0.10/0.35  in_neg_clause_count:                 1
% 0.10/0.35  in_poseq_clause_count:               4
% 0.10/0.35  in_negeq_clause_count:               0
% 0.10/0.35  in_unitposeq_clause_count:           1
% 0.10/0.35  in_chain_clause_count:               0
% 0.10/0.35  in_min_length:             1
% 0.10/0.35  in_max_length:             4
% 0.10/0.35  in_min_depth:              1
% 0.10/0.35  in_max_depth:              3
% 0.10/0.35  in_min_size:               2
% 0.10/0.35  in_max_size:              16
% 0.10/0.35  in_min_vars:               0
% 0.10/0.35  in_max_vars:               6
% 0.10/0.35  in_extaxiom_count:                 9
% 0.10/0.35  in_axiom_count:                    7
% 0.10/0.35  in_assumption_count:               0
% 0.10/0.35  in_goal_count:                     4
% 0.10/0.35  in_neg_goal_count:                 1
% 0.10/0.35  in_pos_goal_count:                 3
% 0.10/0.35  in_posunit_goal_count:             3
% 0.10/0.35  
% 0.10/0.35  auto guide:
% 0.10/0.35  -----------
% 0.10/0.35  {
% 0.10/0.35  "print":1,
% 0.10/0.35  "print_level": 15,
% 0.10/0.35  "max_size": 0,
% 0.10/0.35  "max_depth": 0,
% 0.10/0.35  "max_length": 0,
% 0.10/0.35  "max_dseconds": 0,
% 0.10/0.35  "runs":[
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.35  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.35  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.35  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.35  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.35  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
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% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.35  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.35  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.10/0.35  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.35  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.10/0.35  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.10/0.35  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.10/0.35  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.35  
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35  
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.10/0.35  
% 0.10/0.35  ]}
% 0.10/0.35  
% 0.10/0.35  
% 0.10/0.35  **** run 1 fork 0 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 2 fork 1 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 3 fork 2 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 4 fork 3 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 5 fork 4 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 6 fork 5 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 7 fork 6 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 8 fork 7 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.15/0.42  
% 0.15/0.42  
% 0.15/0.42  result: proof found
% 0.15/0.42  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.42  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.15/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.42  
% 0.15/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.15/0.42  
% 0.15/0.42  run 3 fork 2 statistics:
% 0.15/0.42  ----------------------------------
% 0.15/0.42  this run seconds: 0.028205
% 0.15/0.42  total seconds: 0.056320
% 0.15/0.42  stat_given_used: 296
% 0.15/0.42  stat_given_used_at_endgame: 0
% 0.15/0.42  stat_given_candidates:   975
% 0.15/0.42  stat_given_candidates_at_endgame: 0
% 0.15/0.42  stat_given_candidates_h: 0
% 0.15/0.42  stat_binres_derived_cl:   1877
% 0.15/0.42  stat_binres_derived_cl_h: 0
% 0.15/0.42  stat_factor_derived_cl: 35
% 0.15/0.42  stat_para_derived_cl: 712
% 0.15/0.42  stat_tautologies_discarded: 41
% 0.15/0.42  stat_forward_subsumed: 703
% 0.15/0.42  stat_derived_cut: 40
% 0.15/0.42  stat_derived_rewritten: 58
% 0.15/0.42  stat_weight_discarded_building: 0
% 0.15/0.42  stat_weight_discarded_cl: 0
% 0.15/0.42  stat_internlimit_discarded_cl: 0
% 0.15/0.42  stat_simplified:  58 simplified 0 derived 0 given
% 0.15/0.42  stat_kept_cl: 1599
% 0.15/0.42  stat_built_cl: 2249
% 0.15/0.42  stat_hyperres_partial_cl: 0
% 0.15/0.42  stat_made_rewriters: 30
% 0.15/0.42  stat_backward_subsumed: 0
% 0.15/0.42  stat_propagated_subsumed: 0
% 0.15/0.42  stat_clsubs_attempted:                      3007
% 0.15/0.42  stat_clsubs_fact_groundunit_found:             7
% 0.15/0.42  stat_clsubs_rule_groundunit_found:             7
% 0.15/0.42  stat_clsubs_top_meta_attempted:              60181
% 0.15/0.42  stat_clsubs_top_meta_failed:                 57174
% 0.15/0.42  stat_clsubs_top_meta_nonpref_attempted:               60181
% 0.15/0.42  stat_clsubs_top_meta_nonpref_succeeded:               12458
% 0.15/0.42  stat_clsubs_top_meta_pref_attempted:                  12458
% 0.15/0.42  stat_clsubs_top_meta_pref1_succeeded:                  5842
% 0.15/0.42  stat_clsubs_top_meta_pref2_succeeded:                  3456
% 0.15/0.42  stat_clsubs_top_meta_pref3_succeeded:                  3007
% 0.15/0.42  stat_clsubs_top_meta_pref_succeeded:                   3007
% 0.15/0.42  stat_clsubs_meta_attempted:                 4944
% 0.15/0.42  stat_clsubs_meta_failed:                    1458
% 0.15/0.42  stat_clsubs_predsymbs_attempted:               0
% 0.15/0.42  stat_clsubs_unit_attempted:                  849
% 0.15/0.42  stat_clsubs_full_attempted:                 2158
% 0.15/0.42  stat_forwardsubs_attempted:                 2303
% 0.15/0.42  stat_lit_hash_added:                   2261
% 0.15/0.42  stat_lit_hash_computed:               11335
% 0.15/0.42  stat_lit_hash_match_found:              872
% 0.15/0.42  stat_lit_hash_match_miss:             11774
% 0.15/0.42  stat_lit_hash_cut_ok:                    48
% 0.15/0.42  stat_lit_strong_cut_ok:                   1
% 0.15/0.42  stat_lit_hash_subsume_ok:               703
% 0.15/0.42  clqueue els 10000000 used 1
% 0.15/0.42  clactive els 10000000 used 297
% 0.15/0.42  clactivesubsume els 10000000 used 1381
% 0.15/0.42  queue_termbuf els 200000000 used 80945
% 0.15/0.42  hyper_termbuf els 100000000 used 1
% 0.15/0.42  active_termbuf els 100000000 used 8715
% 0.15/0.42  varstack els 5000 last used 1
% 0.15/0.42  given_termbuf els 10000000 last used 1
% 0.15/0.42  simplified_termbuf els 10000000 last used 1
% 0.15/0.42  derived_termbuf els 10000000 last used 21
% 0.15/0.42  wr_mallocs: 4223
% 0.15/0.42  wr_callocs: 21
% 0.15/0.42  wr_reallocs: 573
% 0.15/0.42  wr_frees: 2
% 0.15/0.42  wr_malloc_bytes: 4162734868
% 0.15/0.42  wr_calloc_bytes: 112065536
% 0.15/0.42  wr_realloc_bytes: 86208
% 0.15/0.42  wr_realloc_freebytes: 0
% 0.15/0.42  ----------------------------------
%------------------------------------------------------------------------------